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ФАКУЛЬТЕТ МАТЕМАТИКИ И ИНФОРМАТИКИ

Давид Чебан


Имя
Давид
Фамилия
Чебан
Научная степень
доктор habilitatus
Академическое звание/должность
профессор
Департамент
Департамент Математики
Образование

1969:  Чок-Майданская средняя школа, Комратский район, Атестат о среднем образовании

1974: Молдавский Гоударственный Университет, Факультет математики и кибернетики,

Диплом (с отличием) о высшем образовании

1974 - 1977: Молдавский Гоударственный Университет, учеба в аспирантуре, Диплом кандидата физико-математических наук

1986–1988 : Молдавский Гоударственный Университет,  докторантура.
 

 

Профессиональный опыт

2020 – по настоящее время: Молдавский Гоударственный Университет, Институт Исследований и Инноваций, Главный научный сотрудник лаборатории "Фундаментальная и Прикладная Математика".

2016 – 2020: Молдавский Гоударственный Университет, Профессор департамента Математики

2012 – 2016: Молдавский Гоударственный Университет, Профессор департамента Фундаметальной Математики

2000 – 2012: Молдавский Гоударственный Университет, Профессор кафедры Математического Анализа и Дифференциальных Уравнений

1992 – 2000: Молдавский Гоударственный Университет, Профессор кафедры Дифференциальных Уравнений

1982 – 1992: Молдавский Гоударственный Университет, Доцент кафедры Дифференциальных Уравнений

1977 - 1982: Молдавский Гоударственный Университет, Преподаватель кафедры Дифференциальных Уравнений

1980 – 1983: Алжирский университета им Хуари Бумедиена (Алжир), Старший преподаватель

 

Приглашенный профессор:

  1. Московский государственный университет, СССР (сентябрь--декабрь 1984).
  2. Франкфуртский университет, Германия (сентябрь-октябрь 1998; сентябрь 2000);
  3. Мерсебургский университет, Германия (июнь 1997; ноябрь 2000);
  4. Бременский университет, Германия (октябрь 2000);
  5. Падернборнский университет, Германия (октябрь-ноябрь 2006);
  6. Илиноисский технологический институт, США (март-июнь 2002);
  7. Мачератский университет, Италия (сентябрь 2002 – февраль 2003);
  8. Анконский университет, Италия (май 2003 – октябрь 2006);
  9. Севильский университет, Испания (декабрь 2007 – январь 2008, февральсентябрь 2010);
  10. Лиможский университет, Франция (ноябрь 2008);
  11. Белорусский университет, Беларусь (Май--Июнь 2013);
  12. Гранадский университет, Испания (декабрь 2013--январь 2014);
  13. Университет Сан Пауло, Бразилия (Август--Октябрь 2014);
  14. Дальянский технологический университет, Китай (март--май 2016--2018  и ноябрь--декабрь 2019).

 

 

Дидактическая деятельность

Прочитанные курсы:

- Дифференциальные уравнения (нормативный курс),
- Дифференциальные уравнения в частных производных (нормативный курс), - Analiză matematică (curs normativ),
- Высшая математика (для нематематических специальностей, нормативный курс),
- Автономные динамические системы (спецкурс),
- Неавтономные динамические системы (спецкурс),
- Линейные дифференциальные уравнения в Банаховом пространстве (спецкурс),
- Диссипативные динамические системы (спецкурс),
- Глобальные аттракторы динамических систем (спецкурс),
- Асимптотические методы втеории дифференциальных уравнений (спецкурс),
-
Почти периодические функции и дифференциальные уравнения (спецкурс),
-
Дифференциальные уравнения и нестандартный анализ (спецкурс),
-
Обобщенные функции и их применение в дифференциальных уравнениях (спецкурс),
-
Теория устойчивости динамических систем (спецкурс).

Повышеиие квалификаци

1984 (сентябрьдекабрь): Московский Государственный Университет (СССР), кафедра дифференциальных уравнений, механико-математический факультет.
 

Научная деятельность

Области научного интереса:

  • Неавтономные динамические системы и их приложения;
  • Глобальные аттракторы динамических систем;
  • Дисперсные динамические системы;
  • Глобальные аттракторы и теория устойчивости неавтономных систем;
  • Качественная теория дифференциальных уравнений;
  • Дифференциальные и разностные включения;
  • Функционально-дифференциальные уравнения;
  • Дифференциальные уравнения в частных производных.

 

Премии и награды:

 

- Золотая медаль Министерства Образования МССР за лучшую студенческую работу (1974),

- Почетный диплом Министерства Высшего Образовани СССР за лучшую студенческую научную работу (1975).

- Премия молодых ученых Кишиневского государственного университета (1982).

- Почетный диплом Министерства образования Республики Молдова (2011).

- Золотая медаль на выставке „EUROINVENT 2020” за монографию "Nonautonomous Dynamics: Nonlinear Oscillations and Global Attractors". Springer Nature Switzerland AG 2020.  (2020)

- Диплом Академии наук Республки Молдова “Meritul Academic“ (2021).

- Премия Академии наук Республики Молдова в области математики  и информатики „Vladimir Andrunachievici”  (2021).

 

 

 

Научные публикации:

195 научных публикаций,  включая 10 монографий:

 

1. David N. Cheban, Nonautonomous Dynamics: Nonlinear Oscillations and Global Attractors. Springer Nature Switzerland AG 2020, xxii+ 434 pp.

. Cheban D.N. Global Attractors of Nonautonomous Dynamical and Control Systems. Interdisciplinary Mathematical Sciences, vol.18, River Edge, NJ: World Scientific, 2015, xxv+589 pp.

3. Cheban D. N., Lyapunov Stability of Non-Autonomous Dynamical Systems. Nova Science Publishers Inc, 2013, xii+275 pp.

4. Set-Valued Dynamical and Control Systems. Nova Science Publishers Inc, New York, 2010, pp.307. (https://www.novapublishers.com/catalog/product_info.php?products_id=12515)

5. Cheban D. N., Asymptotically Almost Periodic Solutions of Differential Equations. Hindawi Publishing Corporation, New York, 2009, 220 pp. (http://www.hindawi.com/books.html 

6. Cheban D. N. Global Attractors of Nonautonomous Dissipative Dynamical Systems. Interdisciplinary Mathematical Sciences 1. River Edge, New Jercey: World Scientific, 2004, 528 pp. (http://www.worldscibooks.com/mathematics/5643.html )

7. Чебан Д. Н., Глобальные аттракторы неавтономных динамических систем. Издательский Центр Молдавского Госуниверситета. Chişinău, 2002, 386 стр.

8. Чебан Д. Н., Асимптотически почти периодические решения дифференциальных уравнений. Издательский Центр Молдавского Госуниверситета. Chişinău, 2002, 226 стр.

9. Чебан Д. Н., Факих Д. С. Глобальные аттракторы дисперсных динамических систем. “Sigma”, Chişinău, 1994, 167 стр.

10. Чебан Д. Н. Теория линейных дифференциальных уравнений. Избранные главы. Кишинев, Штиинца, 1980, 111 стр.
 

и 3 учебных пособия

  1. Чебан Д. Н. Высшая математика (Краткий справочник). „Evrika”, Chişinău, 1997, 75 стр. (на русском и румынском языках).
  2. Чебан Д. Н. Обыкновенные дифференциальные уравнения. Руководство к решению задач. Издательский Центр Молдавского Госуниверситета, Chişinău, 2001, 406 стр.
  3. Ceban D. N., Şubă A. Probleme de ecuaţii diferenţiale. Centrul Editorial al Universităţii de Stat din Moldova, Chişinău, 2001, 272 pp.

Недавние публикации:

 

2022

 

17. David Cheban, On the structure of te Levinson center for monotone non-autonomous dynamical systems with a first integral.Carpatian Journal of Matematics, Vol.38, No.1, 2022, pp.67-94.

2021


16. David Cheban and Zhenxin Liu, Weak Averaging Principle on Infinite Interval for Stochastic Ordinary Differential
Equations. Electronic Research Archive (ERA), Vol.29, No.4, 2021, pp.2791-2817. 

15. David Cheban, On the structure of the Levinson center for monotone dissipative non-autonomous dynamical systems.
Chapter in the book "Advance in Mathematics Research",Volume 29. Nova Science Publishers, Inc. 2021, pp.173-218. 

2020

 

14. David Cheban, Almost Periodic and Almost Automorphic Solutions of Monotone Differential Equations with a Strict Monotone First Integral. Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, No.3. 2020, pp.39-74.

13. David N. Cheban, Nonautonomous Dynamics. Nonlinear Oscillations and Global Attractors.  Springer Nature Switzerland AG 2020, xxii+ 434 pp.

12. David Cheban and Zhenxin Liu, Periodic, quasi-periodic, almost periodic, almost automorphic, Birkhoff recurrent and Poisson stable solutions for stochastic differential equations Journal of Differential Equations, Vol. 269, No. 4, 2020, pp.3652-3685.

11. David Cheban, The Structure of Global Attractors for Non-Autonomous Perturbations of Gradient-Like Dynamical Systems. Journal of Dynamics and Differential Equations, Vol. 32, No.3, 2020, pp.1113-1138.

2019

10.  David Cheban, Levitan Almost Periodic Solutions for Linear Partial Differential Equations. The Fifth Conference of the Mathematical Society of the Republic of Moldova: IMCS-55. Chisinau, Republic of Moldova, September 28-- October 1, 2019, pp.36-39.

9. David Cheban, Levitan Almost Periodic Solutions of Infinite-dimensional Linear Differential Equations. Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, No.2 (90), 2019, pp.56-78.

8. Cheban D. N., The Structure of Global Attractors for Non-Autonomous Perturbations of Gradient-Like Dynamical Systems. Journal of Dynamics and Differential Equations, June 26, 2019, 26 pages. DOI: 10.1007/s10884-019-09776-9 .

7. David Cheban and Zhenxin Liu, Poisson Stable Solutions of Monotone Differential Equations. SCIENCE CHINA Mathematics, Vol.62, No.7, 2019, pp.1391-1418.

6. Cheban D. N., I. U. Bronshtein's Conjecture for Monotone Nonautonomous
Dynamical Systems. Discrete and Continuous Dynamical Systems: series B, 2019, Vol.24, No.3, pp.1095--1113.

5. Cheban D. N., Bohr/Levitan Almost Periodic and Almost Automorphic Solutions of Linear Stochastic Differential Equations without Favard's Separation Condition. Chapter in book "Advance in Evolution Equations:
Evolution Equations: Almost Periodicity and Beyond". Editors: G. N'Guerekata, Jin Lian and Alexander Pankov. Dedicated to the memory of V. V. Zhikov. Nova Science Publishers, New York, 2019, ix+327 pp, pp.155--206.

2018

 4. Cheban D. N., Levitan/Bohr Almost Periodic and Almost Automorphic Solutionsof the Scalar Differential
Equations. Dynamical Systems: An International Journal, 2018, Vol.33, No.4, pp.667-690.

2017

3. Cheban D. N., Bohr/Levitan Almost Periodic and Almost Automorphic Solutions of Linear Stochastic Differential Equations without Favard's Separation Condition. Internationl Journal of Evolution Equations, 2017, Vol. 10, N0.3-4, pp.349-389.

2. Cheban D. N., Linear Stochastic Differential Equations and Nonautonomous Dynamical Systems. Proceedings CMSM4, The Fourth Conference of Mathematical Society of the Republic of Moldova: dedicated to the centenary of Vladimir Andrunachievici (1917-1997). June 28 –July 2, Chisinau 2017, pp.255-258.

2016

1. Cheban D. N., Mammana C. and Michetti E., The Structure of Global Attractors for Non-Autonomous Perturbations of Discrete Gradient-Like Dynamical Systems. Journal of Difference Equations and Applications, Vol.22, No.11, 2016, pp.1673--1697.

 

Публикации в рецензируемых журналх:

 

143. David Cheban, On the structure of te Levinson center for monotone non-autonomous dynamical systems with a first integral.Carpatian Journal of Matematics, Vol.38, No.1, 2022, pp.67-94.

142. David Cheban and Zhenxin Liu, Weak Averaging Principle on Infinite Interval for Stochastic Ordinary Differential
Equations. Electronic Research Archive (ERA), Vol.29, No.4, 2021, pp.2791-2817. 

141. David Cheban, On the structure of the Levinson center for monotone dissipative non-autonomous dynamical systems.
Chapter in the book "Advance in Mathematics Research",Volume 29. Nova Science Publishers, Inc. 2021, pp.173-218. 

140. David Cheban, Almost Periodic and Almost Automorphic Solutions of Monotone Differential Equations with a Strict Monotone First Integral. Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, No.3. 2020, pp.39-74.

139. David Cheban and Zhenxin Liu, Periodic, quasi-periodic, almost periodic, almost automorphic, Birkhoff recurrent and Poisson stable solutions for stochastic differential equations Journal of Differential Equations, Vol. 269, No. 4, 2020, pp.3652-3685. 

138.  David Cheban, The Structure of Global Attractors for Non-Autonomous Perturbations of Gradient-Like Dynamical Systems. Journal of Dynamics and Differential Equations, Vol. 32, No.3, 2020, pp.1113-1138.

137. David N. Cheban, Nonautonomous Dynamics: Nonlinear Oscillations and Global Attractors. Springer Nature Switzerland AG 2020, xxii+ 434 pp.

136.  David Cheban, Levitan Almost Periodic Solutions for Linear Partial Differential Equations. The Fifth Conference of the Mathematical Society of the Republic of Moldova: IMCS-55. Chisinau, Republic of Moldova, September 28-- October 1, 2019, pp.36-39.

135. David Cheban, Levitan Almost Periodic Solutions of Infinite-dimensional Linear Differential Equations. Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, No.2 (90), 2019, pp.56-78.

134. Cheban D. N., The Structure of Global Attractors for Non-Autonomous Perturbations of Gradient-Like Dynamical Systems. Journal of Dynamics and Differential Equations, June 26, 2019, 26 pages. DOI: 10.1007/s10884-019-09776-9 .

133. David Cheban and Zhenxin Liu, Poisson Stable Solutions of Monotone Differential Equations. SCIENCE CHINA Mathematics, Vol.62, No.7, 2019, pp.1391-1418.

32. Cheban D. N., I. U. Bronshtein's Conjecture for Monotone Nonautonomous Dynamical Systems. Discrete and Continuous Dynamical Systems: series B, 2019, Vol.24, No.3, pp.1095--1113.

131. Cheban D. N., Bohr/Levitan Almost Periodic and Almost Automorphic Solutions of Linear Stochastic Differential Equations without Favard's Separation Condition. Chapter in book "Advance in Evolution Equations: Evolution Equations: Almost Periodicity and Beyond". Editors: G. N'Guerekata, Jin Lian and Alexander Pankov. Dedicated to the memory of V. V. Zhikov. Nova Science Publishers, New York, 2019, ix+327 pp, pp.155--206.

130. Cheban D. N., Levitan/Bohr Almost Periodic and Almost Automorphic Solutionsof the Scalar Differential
Equations. Dynamical Systems: An International Journal, 2018, Vol.33, No.4, pp.667-690.

129. Cheban D. N., Bohr/Levitan Almost Periodic and Almost Automorphic Solutions of Linear Stochastic Differential Equations without Favard's Separation Condition. Internationl Journal of Evolution Equations, 2017, Vol. 10, N0.3-4, pp.349-389.

128. Cheban D. N., Linear Stochastic Differential Equations and Nonautonomous Dynamical Systems. Proceedings CMSM4, The Fourth Conference of Mathematical Society of the Republic of Moldova: dedicated to the centenary of Vladimir Andrunachievici (1917-1997). June 28 –July 2, Chisinau 2017, pp.255-258.

127. Cheban D. N., Mammana C. and Michetti E., The Structure of Global Attractors for Non-Autonomous Perturbations of Discrete Gradient-Like Dynamical Systems. Journal of Difference Equations and Applications, Vol.22, No.11, 2016, pp.1673--1697.

126. Cheban D. N., Mammana C. and Michetti E., Global attractors of non-autonomous difference equations: A growth model with endogenous population growth. Dynamical Systems and Applications, 24 (2015), no.1-2, pp.17-33.

125. Cheban D. N., The Structure of Global Attractors for Non-Autonomous Gradient-Like Dynamical Systems. International conferences "Mathematics & Information Technologies: Research and Eduacation (MITRE-2015). Abstracts, Chisinau, July 2-4, 2015, p.21-22.

124. Cheban D. N., Relation between Levinson center, chain recurrent set and center of Birkhoff for compact dissipative dynamical systems. Bulletinul Academiei de Stiinte a Republicii Moldova. Matematica, No.2 (78), 2015, pp.42--60.

123. Cheban D.N. and Kalitine B.S., On the stability of gradient-like systems. International mathematical conference "Sixth Bogdanov reads on ordinary differential equations", December 7-10, 2015. Abstracts of conference, Vol.1, Minsk, 2015, pp.90-92.

122. Cheban D.N. Global Attractors of Nonautonomous Dynamical and Control Systems. Interdisciplinary Mathematical Sciences, vol.18, River Edge, NJ: World Scientific, 2015, xxv+589 pp.

121. Cheban David, Belitskii--Lyubich Conjecture for C-Analytic Dynamical Systems. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES, series B, Vol. 20, No. 3, 2015 pp. 945--959.

120. Cheban D. N. and Kalitine B. S., On the Stability of Gradient-Like Systems. International Journal of Evolution Equations, Vol.9, No.2, 2014, pp.151-166.

119. Cheban D. N., Compact Global Attractors of Non-autonomus Gradient-Like Dynamical Systems. Bulletinul Academiei de Stiinte a Republicii Moldova. Matematica, No.2 (75), 2014, pp.85--101.

118. Cheban D. N., Markus-Yamabe Conjecture for Non-Autonomous Systems. Nonlinear Analysis: TMA, Volume 95, 2014, pp.202–218.

117. Cheban D. N., Compact Global Chaotic Attractors of Discrete Control Systems. Nonautonomous and Stochastic Dynamical Systems, DOI: 10.2478/msds-2013-0002 • NSDS • 2014 • pp.10-25.

116. Cheban D. N., Asymptotic Stability of Non-autonomus Dynamical Systems. Bulletinul Academiei de Stiinte a Republicii Moldova. Matematica, No.1 (71), 2013, pp.11-44.

115. Cheban D. N. and Mammana C., Markus-Sell's Theorem for Asymptotically Almost Periodic Systems. Chapter in the Book „Dynamical Systems: Theory, Applications and Future Directions". Editor: Jean Michel Tchuenche (Atlanta, GA , USA). Nova Science Publishers, 2013, pp.1--20.

114. Cheban D. N., Lyapunov Stability of Non-Autonomous Dynamical Systems. Nova Science Publishers Inc, 2013, xii+275 pp.

113. Cheban D. N., Mammana C. and Michetti E., Global attractors of quasi-linear non-autonomous difference equations: A growth model with endogenous population growth. Nonlinear Analysis: serie B, 14 (2013) pp.1716 - 1731.

112. Caraballo Tomas and Cheban David, Almost Periodic and Almost Automorphic Solutions of Linear Differential Equations. DCDS-A, vol. 33, no. 5, 2013, pp.1857-1882.

111. Caraballo Tomas and Cheban David, On the Structure of the Global Attractor for Infinite-Dimensional Non-autonomous Dynamical Systems with Weak Convergence. Communications on Pure and Applied Analysis (CPAA), vol.12, no.1, 2013, pp. 281-302 .

110. Caraballo Tomas and Cheban David, Almost Periodic Motions in Semi-Group Dynamical Systems and Bohr/Levitan almost periodic solutions of Linear difference equations without Favard's separation condition. Journal of Difference Equations and Applications, Volume 19, Issue 6, 2013, pp.872-897.

109. Cheban D. N., Sell's conjecture for Non-Autonomous Dynamical Systems. Nonlinear Analysis: TMA, Vol.75, no.7, 2012, pp.3393-3406.

108. Caraballo Tomas and Cheban David, On the Structure of the Global Attractor for Non-autonomous Dynamical Systems with Weak Convergence. Communications in Pure and Applied Analysis, Vol.11, no.2, 2012, pp.809-828.

107. Caraballo Tomas and Cheban David, On the Structure of the Global Attractor for Non-autonomous Difference Equations with Weak Convergence. Journal of Difference Equations and Applications, Volume 18, Issue 18, 2012, pp.535-551.

106. Caraballo Tomas and Cheban David, Levitan/Bohr Almost Periodic and Almost Automorphic Solutions of Second-Order Monotone Differential Equations. Journal of Differential Equations, Vol.251, No.3, 2011, pp.708-727.

105. Caraballo Tomas and Cheban David, Almost Periodic and Asymptotically Almost Periodic Solutions of Lienard Equation. DCDS-B, Vol.16, No.3, 2011, pp.703-717 .

104. Cheban D. N., Global Attractors of Set-Valued Dynamical and Control Systems. Nova Science Publishers Inc, New York, 2010, xvii+269 pp.

103. Cheban D. N., Compact Global Attractors of Control Systems. Journal of Dynamical and Control Systems, vol.16 (2010), no.1, pp. 23--44.

102. Boularas Driss and Cheban David, Asymptototic Stability of Switching Systems. Electronical Journal of Differential Equations, 2010 (2010), no.21, pp.1-18.

101. Cheban D. N. and Mammana C., Invariant Manifolds, Almost Periodic and Almost Automorphic Solutions of Seconde-Order Monotone Equations. New Research on Evolution Equations: Editor G. M. N'Guerekata. Nova Science Publishers, Inc. New York, 2009, pp.123--145.

100. Cheban D. N., Kloeden P. E. and Schmalfuss B., Relation Between pullback and Global Attractors of Nonautonomous Dynamical Systems. Advances in Chaotic Dynamics and Applications. Stability, Oscilations and Optimization of Systems. Editors: C. Cruz-Hernandez and A. A. Martynyuk: Vol. 4, Cambridge Scientific Publishers, 2009, 280 pp., pp. 1-25.

99. Cheban D., Asymptotically Almost Periodic Solutions of Differential Equations. Hindawi Publishing Corporation, New York, 2009, ix+186 pp.

98. Caraballo T. and Cheban D., Almost Periodic and Almost Automorphic Solutions of Linear Differential/Difference Equations without Favard's Separation Condition.II J. Differential Equations, 246 (2009), pp.1164--1186.

97. Caraballo T. and Cheban D., Almost Periodic and Almost Automorphic Solutions of Linear Differential/Difference Equations without Favard's Separation Condition.I J. Differential Equations, 246 (2009), pp.108--128.

96. Cheban D. N., Mammana C. and Michetti E., Global Attractors of Nonautonomous Difference Equations. Bulletinul Academiei de Stiinte a Republicii Moldova. Matematica, No.1 (59), 2009, pp.45--57.

95Cheban D. N. and Schmalfuss B., Invariant Manifolds, Global Attractors, Almost Automrphic and Almost Periodic Solutions of Non-Autonomous Differential Equations. J.Math.Anal.Appl., 340, no.1 (2008), 374-393.

94. Cheban D. N., Levitan Almost Periodic and Almost Automorphic Solutions of V-monotone Differential Equations. J. Dyn. Diff. Eqns, Vol.20, No.3, 2008, pp.669--697.

93. Cheban D. N., Mammana C. and Michetti E., Global Attractors of Quasi-Linear Non-Autonomous Difference Equations. Bulletinul Academiei de Stiinte a Republicii Moldova. Matematica, No.1 (56), 2008, pp.84--104.

92. D. Cheban and C. Mammana. Invariant Manifolds and Almost Automorphic Solutions of Second-Order Monotone Equations. Proceedins: EQUADIFF 11. International conference on differential equations: Czecho-Slovak series. Comenius University, Bratislava, SLOVAKIA,July 25 - 29, 2007, pp.141-147.

91. D. Cheban and C. Mammana. Continuous Dependence of Attractors on Parameters of Non-Autonomous Dynamical Systems and Infinite Iterated Functions Systems. Discrete and Continuous Dynamical Systems, Vol. 18, No.2-3, 2007, 499-515.

90. D. Cheban and C. Mammana. Almost Periodic Solutions of Non-Autonomous Beverton-Holt Difference Equations. WSEAS TRANSACTIONS on SYSTEMS, Issue 5, Volume 5, May 2006, pp.1048-1053.

89. D. Cheban and C. Mammana. Global Compact Attractors of Discrete Inclusions. Nonlinear Analysis, v.65 , No.8, 2006, pp.1669-1687.

88. D. Cheban and C. Mammana. Invariant Manifolds, Almost Periodic and Almost Automorpfic Solutions of Second-Order Monotone Equations. International Journal of Evolution Equations, V.1, No.4, 2005, pp.319-343.../HP(14.09.2012)/pdf/2006/ch_m_2006_2ndord.pdf

87. D. Cheban and C. Mammana. Absolute Asymptotic Stability of Discrete Linear Inclusions. Bulletinul Academiei de Stiinte a Republicii Moldova. Matematica, No.1 (47), 2005, pp.43-68.

86. D. Cheban and C. Mammana. Relation between Different Types of Global Attractors of Non-Autonomous Set-Valued Dynamical Systems. Set-Valued Analysis, Vol.13, No.3, 2005, pp.291-321.

85. D. Cheban and C. Mammana. Invariant Manifolds, Global Attractors and Almost Periodic Solutions of Non-autonomous Difference Equations. Equadiff 2003. Proceedings of the International Conference on Differential Equations. Hasselt, Belgium 22-26 July 2003. Singapore: World Scientific, 2005, pp.833-838.

84. D. Cheban and C. Mammana. Relation between Different Types of Stabilities of Linear Non-Autonomous Dynamical Systems. Dynamical Systems and Applications, Proceedings, pp.205-227, July 5-10, 2005, Antalya, Turkey.

83. D. Cheban and C. Mammana. Asymptotic Stability of Autonomous and Non-Autonomous Discrete Linear Inclusions. Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, No.3 (46), 2004, pp.41-52. ../HP(14.09.2012)/pdf/2004/cheban_asympstab04.pdf

82. D. Cheban. Global Attractors of Nonautonomous Dissipative Dynamical Systems. Interdisciplinary Mathematical Sciences 1. River Edge, NJ: World Scientific, 2004, xxiii+502 pp.

81. D. Cheban and C. Mammana. Invariant Manifolds, Global Attractors and Almost Periodic Solutions of Non-autonomous Difference equations. Nonlinear Analyses, serie A, v.56, No.4, 2004, pp.465-484.

80. D. Cheban and J. Duan. Almost Periodic Solutions and Global Attractors of Non-Atonomous Navier-Stokes Equations. Journal of Dynamics and Differential Equations, v.16, No.1, 2004, pp.1-34.

79. D. Cheban and J. Duan. Recurrent Motions and Global Attractors of Non-Atonomous Lorenz Systems. Dynamical Systems: An International Journal, v.19, No.1, 2004, pp.41-59.

78. D. Cheban, J. Duan and A. Gherco. Generalization of Second Bogoliubov's Theorem for Non-Almost Periodic Systems. Nonlinear Analys: Real World Applications, v.4, No.4, 2003, pp.599-613.

77. D. Cheban and C. Mammana. Upper Semicontinuity of Attractors of Set-Valued Nonautonomous Dynamical Systems. International Journal of Pure and Applied Mathematics, v 4, No.5, 2003, pp.385-418.

76. D. Cheban, P. Kloeden and B. Schmalfuss. Global Attractors of V-monotone Nonautonomous Dynamical Systems. Bulletin of Academy of sciences of Republic of Moldova. Mathematics, 2003. No.1(41), pp.47-57.

75. V. Bongolan-Walsh, D. Cheban and J. Duan. Recurrent Motions in the Nonautonomous Navier-Stokes System. Continuous and Disrete Dynamical Systems - serie B, V.3, No.2, 2003, pp.255-262.

74. D. Cheban, J. Duan and A. Gherco. Heteroclinic Points of Multi-dimensional Dynamical Systems. Electron. J. Diff. Eqns. Vol. 2003(2003), No. 41, pp. 1-21.

73. D. Cheban. Global Attractors of Dynamical Systems. Electronic Journal Differential Equations and Control Processes. V.3, 2003, pp.1-56.

72. D. Cheban, P. Kloeden and B. Schmalfuss. Relation Between Pullback and Global Attractors of Nonautonomous Dynamical Systems. Nonlinear Dynamics and Systems Theory, v.2, No.2(2002), pp.9-28.

71. D. Cheban. Upper Semicontinuity of Attractors of Nonautonomous Dynamical Systems for Small Perturbations. Electron. J. Diff. Eqns., Vol.2002(2002), No.42, pp.1-21.

70. D. Cheban. Global Attractors of Nonautonomous Dynamical Systems Kishinev. State University of Moldova, 2002 (in russian), pp.1-386.

69. D. Cheban. Asymptotical Almost Periodic Solutions of Differential Equations. Kishinev, State University of Moldova, 2002 (in Russian), pp.1-227.

68. D. Cheban. Global Attractors of Quasihomogeneous Nonautonomous Dynamical Systems. Electron. J. Diff. Eqns., Vol.2002(2002), No.10, pp.1-19.

67. D. Cheban. Global Attractors of Quasihomogeneous Nonautonomous Dynamical Systems. Proceedings of the International Conference on Dynamical Systems and Differential Equations. (May 18-21, 2000, Kennesaw, GA, USA) Discrete and Continuous Dynamical Systems, 2001, Added Volume, pp.96-101.

66. D. Cheban. Uniform Exponential Stability of Linear Periodic Systems in a Banach Spaces. Electronic Journal of Differential Equations. vol. 2001 (2001), .03, pp.1-12.

65. D. Cheban. Schmalfuss B. and P. Kloeden. Pullback Attractors in Dissipative Nonautonomous Differential Equations under Discretization. Journal of Dynamics and Differential Equations, vol.13, No.1, 2001, pp. 185-213.

64. D. Cheban. Global Pullback Atttactors of C-Analytic Nonautonomous Dynamical Systems. Stochastics and Dynamics. 2001,v.1, No.4,pp.511-535.

63. D. Cheban. Global Pullback Atttactors of C-Analytic Cocycles. Bulletin of Academy of sciences of Republic of Moldova. Mathematics, 2001. .2(36),2001, pp.65-74.

62. D. Cheban. Kloeden pp. E. and Schmalfuss B., Pullbac Attractors under Discretization. Proceeding EQUADIFF99. Berlin 1999, vol.2 (Edited by B. Fiedler, K. Groger and J. Sprekels). World Scientific 2000, pp.1024-1029.

61. D. Cheban. Uniform Exponential Stability of Linear Almost Periodic Systems in a Banach spaces. Electronic Journal of Differential Equations. vol. 2000 (2000), No.29, pp.1-18.

60. D. Cheban. An Analogy of Cameron-Johnson Theorem for the Linear C-analytic Equations in the Hilbert Space. Mathematical Notes, v.68, No.6, 2000, pp.935-938.

59. D. Cheban and B. Schmalfuss. Global Attractors of Nonautonomous Disperse Dynamical Systems and Differential Inclusions. Bulletin of Academy of Sciences of Republic of Moldova. Mathematics, 1999. No1(29), pp.3 - 22.

58. D. Cheban. Global Attractors of Non-autonomous Dynamical Systems and Almost Periodic Limit Regimes of Some Classes of Evolution Equations. Anale Fac. de Mat. si Inform., v. 1, 1999, pp. 1-26.

57. D. Cheban. Relations Between the Different Type of Stability of the Linear Almost Periodical Systems in the Banach Space. Electronic Journal of Differential Equations. vol. 1999 (1999), No.46, pp.1-9.

56. D. Cheban. Global Attractors of Infinite-dimensional Non-autonomous Dynamical Systems, II. Bulletin of Academy of sciences of Republic of Moldova. Mathematics, 1998, N2 (27), pp.25-38.

55. D. Cheban. The Asymptotics of Solutions of Infinite Dimensional Homogeneous Dynamical Systems. Mathematical Notes, 1998. v. 63, N1 , pp.115-126.

54. D. Cheban. Bounded Solutions of the Linear Almost Periodic Systems of Differential Equations. Bulletin of Academy of Sciences of Russia, Mathematics Series. 1998, v. 62, N3, pp.155-174.

53. D. Cheban. Global Attractors of Infinite-dimensional Nonautonomous Dynamical Systems, I. Bulletin of Academy of sciences of Republic of Moldova. Mathematics 1997, N3 (25), pp. 42-55

52. D. Cheban. On the Structure of Compact Asymptotically Stable Sets of C-analytic Almost Periodic Systems. Abstract of speech at Scientific Conference of Moldavian State University, Kishinev, 1995.

51. D. Cheban. Converse of Lyapunov's Theorem on Asymptotic Stability by the First Approximation for C-analytic Non-autonomous Systems. Mathematical Notes, 1995. v. 57, N1, pp. 139-142.

50. D. Cheban. Global Attractors of Infinite-dimensional Systems, II. Bulletin of Academy of sciences of Republic of Moldova. Mathematics. 1995, N1 (17), pp. 28-37.

49. D. Cheban and D. Fakeeh. Global Attractors of Infinite-dimensional Systems, III. Bulletin of Academy of sciences of Republic of Moldova. Mathematics. 1995, N2-3 (18-19), pp. 3-13.

48. D. Cheban. On the Structure of Compact Asymptotically Stable Sets of the C-analytic Almost Periodic Systems. Differential Equations, 1995, v. 31, N12, pp. 2025-2028.

47. D. Cheban and D. Fakeeh. Global Attractors of the Dynamical Systems Without Uniqueness. Kishinev,"Sigma", 1994, ppp.1-167. (
in Russian).

46. D. Cheban. Global Attractors of Infinite-dimensional Systems, I. Bulletin of Academy of sciences of Republic of Moldova. Mathematics, 1994, N2 (15), pp. 12-21.

45. D. Cheban and D. Fakeeh. Connectivity of the Levinson Centre of Compactly Dissipative Dynamical System without Uniqueness. Bulletin of Academy of siences of Republic of Moldova. Mathematics, 1993, N1 (11), pp. 15-22.

44. D. Cheban. Some Problems of the Theory of Dissipative Dynamical Systems, II. Functional methods in the theory of differential equations (Mathematical researches, issue 124). Kishinev, "Stiinta", 1992, pp. 106-122.

43. D. Cheban. Locally Dissipative Dynamical Systems and Some of Their Applications. Bulletin of Academy of Sciences of Republic of Moldova. Mathematics, 1992, N1 (8), pp.7-14.

42. D. Cheban. Dissipative Functional Differential Equations. Bulletin of Academy of sciences of Republic of Moldova. Mathematics, 1991, N2 (6), pp. 3-12.

41. D. Cheban. On the Structure of the Levinson Centre of Dissipative Dynamical Systems with the Hyperbolicity Condition on the Closure of the Set of Recurrent Motions. Differential Equations, 1990. v. 26, N5, pp. 913-914.

40. D. Cheban. On the Structure of the Levinson Centre of a Dissipative Dynamical System with the Hyperbolicity Condition on the Set of Recurrent Motions. Bulletin of Academy of Sciences of Republic of Moldova. Mathematics. 1990, N2 (3), pp. 34-43.

39. D. Cheban. Non-autonomous Dissipative Dynamical Systems with a Hyperbolic Subset of Centre (One-dimensional Case). Mathematical Notes, 1989, v. 45, 6, pp. 93-98.

38. D. Cheban. Some Problems of the Theory of Dissipative Dynamical Systems, I. Differential equations and mathematical physics. Kishinev, "Stiinta", 1989, pp. 147-163.

37. D. Cheban. On One of J.Hale's Problems. Mathematical Notes
,1989, v. 46, N1, pp. 120-121.

36. D. Cheban. Nonautonomous Dynamical Systems with a Convergence. Differential Equations, 1989. v. 25, N9, pp. 1633-1635.

35. D. Cheban. Impulse and Difference Dissipative Systems with Periodic Coefficients. Researches on Differential Equations and mathematical analysis. Kishinev, "Stiinta", 1988, pp. 127-142.

34. D. Cheban. Principle of Averaging on the Semi-axis for the Dissipative Systems. Dynamical systems and equations of mathematical physics. Kishinev, "Stiinta", 1988, pp. 149-161.

33. D. Cheban. On the Structure of the Levinson Centre of Dissipative Dynamical Systems. Differential Equations, 1988. v. 24, N6, pp. 1086.

32. D. Cheban. Nonautonomous Dissipative Dynamical Systems. Method of Lyapunov Functions. Problems of the qualitative theory of differential equations. Novosibirsk, 1988, pp. 56-64.

31. D. Cheban. On the Structure of the Levinson Centre of Dissipative Dynamical Systems. Differential Equations, 1988. v. 24, N9, pp. 1564-1576.

30. D. Cheban. Nonautonomous Dissipative Dynamical systems. Method of Lyapunov functions. Differential Equations, 1987. v. 23, N3, pp. 464-474.

29. D. Cheban. Boundedness, Dissipativity and Almost Periodicity of the Solutions of Linear and Weakly Nonlinear Systems of Differential Equations. Dynamical systems and boundary value problems. Kishinev, "Stiinta", 1987, pp. 143-159.

28. D. Cheban. Nonautonomous Dissipative Dynamical Systems. Soviet Math. Dokl, v. 33, N1. 1986, pp. 207-210.

27. D. Cheban. One Test of the Convergence of Nonlinear Systems in Hilbert Spaces. Differential equations and their invariants. Kishinev, "Stiinta", 1986, pp. 136-143.

26. D. Cheban. Test of the Convergence of Nonlinear systems by the First Approximation. Differential equations and their invariants. Kishinev, "Stiinta", 1986, pp. 144-150.

25. D. Cheban. Nonautonomous Dynamical Systems. Lyapunov Functions method. Abstract of speech at the 6th All-Union conference of Qualitative Theory of Differential Equations. Irkutsk, 1986, pp. 197-198.

24. D. Cheban. C-analytic Dissipative Dynamical Systems. Differential Equations, 1986. v. 22, N11, pp. 1915-1922.

23. D. Cheban. On the Nonautonomous Dissipative Dynamical Systems. Uspekhi Matematicheskikh Nauk, 1986, v. 41, N4 (250), pp. 169.

22. D. Cheban. Quasiperiodic Solutions of the Dissipative Systems 
with a Quasiperiodic Coefficients. Differential Equations, v. 22, N2. 1986, pp. 267-278.

21. D. Cheban. On the Second Lyapunov Method in the Theory of Stability of Dynamical Systems. Differential Equations and Dynamical Systems. Kishinev, "Stiinta", 1985, pp. 139-147.

20. D. Cheban. Nonautonomous Dissipative Dynamical Systems. Differential Equations, 1985, v. 21, N5, pp. 913-914.

19. D. Cheban. Dynamical Systems of Translations in the Spaces of Functions and Distributions. Research on the Functional Analysis and Differential Equations. Kishinev, "Stiinta", 1984, pp. 130-142.

18. D. Cheban. Periodic and Quasiperiodic Solutions of Linear Differential Equations. Differential Equations, 1984, v. 20, N8, pp. 1455-1456.

17. D. Cheban. On the Stability of Levinson Centre of Nonautonomous Dissipative Dynamical Systems. Differential Equations, 1984,v. 20, N11, pp. 2016-2018.

16. D. Cheban. Compatible Solutions of Differential Equation x’’=f(t,x) in the Hilbert space. Research on the Differential Equations. Kishinev, "Stiinta", 1983, pp. 101-111.

15. D. Cheban. Compatible Solutions of Linear Partial Differential Equations. Researches on the Differential Equations. Kishinev,"Stiinta", 1983, pp. 101-111.

14. V. Amelkin and D. Cheban. Bounded Solutions and Periodic Oscillations of Differential Systems. Differential Equations and Theory of Operators. Kishinev, "Stiinta", 1982, pp. 3-9.

13. D. Cheban and I. Cheban. Anti Almost Periodic Solutions of Differential Equations. Research on the Functional Analysis and Differential Equations. Kishinev, "Stiinta", 1981, pp. 100-108.

12. D. Cheban and A. Shipkov. Bounded solutions of differential equations with complex time. Research on the Functional Analysis and Differential Equations. Kishinev, "Stiinta", 1981, pp. 116-123.

11. D. Cheban. Some Theorems of the Injection of Dynamical Systems. Algebraic Invariants of Dynamical Systems. Kishinev, "Stiinta". 1980, pp. 118-122.

10. D. Cheban. A Theory of the Linear Differential Equations (selected chapters). Kishinev, "Shtiintsa", 1980, pp.1-110.

9. D. Cheban. Some Properties of Linear Systems of Differential Equations with Asymptotically Almost Periodic Coefficients. Differential Equations 1978, v. 14, N5, pp. 940-942.

8. D. Cheban and V. Chernii. On the Question of Exponential Dichotomy on Semi-axis of Solutions of Differential Equations. Differential Equations, 1978, v. 14, No.11, pp. 2012-2018.

7. D. Cheban. On the Boundedness and Asymptotic Almost Periodicity of Solutions of Differential Equations Solutions. Kishinev, "Stiinta", Mathematical Sciences, No.1, 1977, pp. 72-76.

6. D. Cheban. On the Comparability of the Points of Dynamical Systems with Regard to the Character of Recurrence Property in the Limit. Kishinev, "Stiinta", Mathematical Sciences, No.1, 1977, pp. 66-71.

5. B. Scherbakov and D. Cheban. Poisson Asymptotic Stability of Motions of Dynamical Systems and their Comparability with Regard to the Recurrence Property in the Limit. Differential Equations, v. 13, N5. 1977, pp. 898-906.

4. D. Cheban. Poisson Asymptotic Stability of Solutions of Operational Equations. Differential Equations, v. 13, N8, 1977, pp. 978-983.

3. D. Cheban. On the Problem of Structural Stability of Linear Systems of Differential Equations with Almost Periodic Coefficients. Differential Equations, 1977, v. 13, N11, pp. 2099-2101.

2. D. Cheban. Uniformly isochron Solutions of Linear System of Differential Equations. Kishinev, "Stiinta". 1974, v. 32, N2, pp. 204-213.

1. D. Cheban. Poisson Asymptotically Stable Solutions of Non-linear Differential Equations. Kishinev, "Stiinta". Mathematical searches, 1974, v. 37, N3, pp. 231-237.

 

 

Полный список публикаций:

 

 

2022 

 

195. David Cheban, On the structure of te Levinson center for monotone non-autonomous dynamical systems with a first integral.Carpatian Journal of Matematics, Vol.38, No.1, 2022, pp.67-94.
 

2021


194. David Cheban and Zhenxin Liu, Weak Averaging Principle on Infinite Interval for Stochastic Ordinary Differential
Equations. Electronic Research Archive (ERA), Vol.29, No.4, 2021, pp.2791-2817. 

193. David Cheban, On the structure of Levinson center of monotone almost periodic systems. International Virtual Conference "Mathematics & Information Technologies: Research and Education (MITRE-2021),  Chisinau, Republic of Moldova, July 01-03, 2021. http://cecmi.usm.md/MITRE/, dedicated to the 75th anniversary of Moldova State University, pp.22-23.

192. David Cheban, Almost periodic solutions and compact global attractors of equations modelling growth processes and gonorrhea epidemics. Book of Abstracts. 13th International ISAAC Congress, August 2–August 6 2021, Ghent University,
Ghent, Belgium, 2021, pp.19-20.

191. David Cheban, On the structure of the Levinson center for monotone dissipative non-autonomous dynamical systems.
Chapter in the book "Advance in Mathematics Research",Volume 29. Nova Science Publishers, Inc. 2021, pp.173-218. 

190. David Cheban, On the structure of the Levinson center for monotone dissipatnon-autonomous dynamical systems.
Proceedings of the International Scientific Conference "Dynamical Systems: Stability, Control, Optimization" (DSSCO’21) in memory of Professor R.F. Gabasov. October 5-10, 2021, Minsk}. Belarussian State University, 2021, pp.11-13.

2020

189. David Cheban and Zhenxin Liu, Poisson Stable Solutions of Monotone Differential Equations. Mathematical Research with Reviews, Issue 1, Art. 2, 2020, 7 pages. Prior Science Publishing. https://www.prior-sci-pub.com/mrr2020iss1/art2.pdf

188. David  Cheban, Perron-Frobenius Dynamics for Markov Chains. Proceeding of the International Symposium "Actual Problems of Mathematics and Informatis" dedicated to the 90th Bithday of Professor Ion Valuta, November 27-28, 2020,
Chisinau, Moldova, pp.51-53.

187. David Cheban, Almost Periodic and Almost Automorphic Solutions of Monotone Differential Equations with a Strict Monotone First Integral. Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, No.3. 2020, pp.39-74.

186. David N. Cheban, Nonautonomous Dynamics. Nonlinear Oscillations and Global Attractors.  Springer Nature Switzerland AG 2020, xxii+ 434 pp.

185. David Cheban and Zhenxin Liu, Periodic, quasi-periodic, almost periodic, almost automorphic, Birkhoff recurrent and Poisson stable solutions for stochastic differential equations Journal of Differential Equations, Vol. 269, No. 4, 2020, pp.3652-3685.

184. David Cheban, The Structure of Global Attractors for Non-Autonomous Perturbations of Gradient-Like Dynamical Systems. Journal of Dynamics and Differential Equations, Vol. 32, No.3, 2020, pp.1113-1138.

183. David N. Cheban, Monotone Nonautonomous Differential Equations with the First Integral. Proceeding of the International Scientific Conference "Modern problems of Differential Equations and their Application" dedicated to the 100th   anniversary   of S.D. Eidelman birthday. Chernivtsi, Ukraine September 16–19, 2020, pp.17-18.

2019

182. David Cheban and Zhenxin Liu, Poisson Stable Solutions of Monotone Differential Equations. SCIENCE CHINA Mathematics, Vol.62, No.7, 2019, pp.1391-1418.

181. Cheban D. N., Levitan Almost Periodic Solutions for Linear Differential Equations Abstracts of the International Conference "Mathematics \& Information Technologies: Research and Education (MITRE-2019)", Chisinau, Republic of Moldova, June 24-25, 2019. http://cecmi.usm.md/MITRE/. Satelite Conference of the Ninth Congress of Romanian Mathematicians., 2019, pp.20-21.

180. David Cheban, Levitan Almost Periodic Solutions of Infinite-dimensional Linear Differential Equations. Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, No.2 (90), 2019, pp.56-78.

179. David Cheban, Levitan Almost Periodic Solutions for Linear Partial Differential Equations. The Fifth Conference of the Mathematical Society of the Republic of Moldova: IMCS-55.Chisinau, Republic of Moldova, September 28-- October 1, 2019, pp.36-39.

178. Cheban D. N., I. U. Bronshtein's Conjecture for Monotone Nonautonomous Dynamical Systems. Discrete and Continuous Dynamical Systems: series B, 2019, Vol.24, No.3, pp.1095-1113. 

177. Cheban D. N., Bohr/Levitan Almost Periodic and Almost Automorphic Solutions of Linear Stochastic Differential Equations without Favard's Separation Condition. Chapter in book "Advance in Evolution Equations: Evolution Equations: Almost Periodicity and Beyond". Editors: G. N'Guerekata, Jin Lian and Alexander Pankov. Dedicated to the memory of V. V. Zhikov. Nova Science Publishers, New York, 2019, ix+327 pp, pp.155-206.

2018

176. Cheban D. N., Levitan/Bohr Almost Periodic and Almost Automorphic Solutions of the Scalar Differential Equations. Dynamical Systems: An International Journal. 2018, Vol.33, No.4, pp.667-690. 

2017

175. Cheban D. N., Linear Stochastic Differential Equations and Nonautonomous Dynamical Systems. Proceedings CMSM4, The Fourth Conference of Mathematical Society of the Republic of Moldova: dedicated to the centenary of Vladimir Andrunachievici (1917-1997). June 28 –July 2, Chisinau 2017, pp.255-258. t

174. Cheban D. N., Bohr/Levitan Almost Periodic and Almost Automorphic Solutions of Linear Stochastic Differential Equations without Favard's Separation Condition. Internationl Journal of Evolution Equations, 2017, Vol. 10, No.3-4, pp.349-389. (special issue dedicated to the memory of V. V. Zhikov). 

2016

173. Cheban D. N., Levitan/Bohr Almost Periodic and Almost Automorphic Solutions of the Scalar Differential Equations. Mathematics & Information Technologies: Research and Education (MITRE-2016),  Chişinău, Republic of Moldova, June 23-26, 2016, pp.18-19.

172. Cheban D. N., Mammana C. and Michetti E., The Structure of Global Attractors for Non-Autonomous Perturbations of Discrete Gradient-Like Dynamical Systems. Patterns of Dynamics: Conference in Honor of Bernold Fiedler, Berlin July 25--29, 2016. Book of Abstracts and Program, p.28.

171. Cheban D. N., Mammana C. and Michetti E., The Structure of Global Attractors for Non-Autonomous Perturbations of Discrete Gradient-Like Dynamical Systems. Journal of Difference Equations and Applications, Vol.22, No.11, 2016, pp.1673--1697. 

2015

170. Cheban D. N., Mammana C. and Michetti E., Global attractors of non-autonomous difference equations: A growth model with endogenous population growth. Dynamical Systems and Applications, 24 (2015), no.1-2, pp.17-33.

169. Cheban D. N., The Structure of Global Attractors for Non-Autonomous Gradient-Like Dynamical Systems. International conferences "Mathematics & Information Technologies: Research and Eduacation (MITRE-2015). Abstracts, Chisinau, July 2-4, 2015, p.21-22. 

168. Cheban D. N., Relation between Levinson center, chain recurrent set and center of Birkhoff for compact dissipative dynamical systems. Bulletinul Academiei de Stiinte a Republicii Moldova. Matematica, No.2 (78), 2015, pp.42--60. 

167. Cheban D.N. and Kalitine B.S., On the stability of gradient-like systems. International mathematical conference  "Sixth Bogdanov reads on ordinary differential equations", December 7-10, 2015.  Abstracts of conference, Vol.1, Minsk, 2015, pp.90-92.

166. Cheban D.N. Global Attractors of Nonautonomous Dynamical and Control Systems. Interdisciplinary Mathematical Sciences, vol.18, River Edge, NJ: World Scientific, 2015, xxv+589 pp.

165. Cheban David, Belitskii--Lyubich Conjecture for C-Analytic Dynamical Systems. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES, series B, Vol. 20, No. 3, 2015 pp. 945--959. 

2014

164. Cheban D. N. and Kalitine B. S., On the Stability of Gradient-Like Systems. International Journal of Evolution Equations,  Vol.9, No.2, 2014, pp.151-166. 

163. Cheban D. N., Compact Global Attractors of Non-autonomous Gradient-Like Dynamical Systems. Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, No.2 (75), 2014, pp.85--101. 

162. Cheban D. N., Birkhoff's center of compact dissipative dynamical system. The Third Conference of Mathematical Society of the republic of Moldova, 19-23 August, 2014, Chisinau, Moldova. Proceedings IMCS-50. Chisinau, Inst. Math Comp. Science, Academy of Sciences of Moldova, 2014. p.239-242. 

161. Cheban D. N., Markus-Yamabe Conjecture for Non-Autonomous Systems. Nonlinear Analysis: TMA, Volume 95, 2014, pp.202–218. 

160. Cheban D. N., Compact Global Chaotic Attractors of Discrete Control Systems. Nonautonomous and Stochastic Dynamical Systems, DOI: 10.2478/msds-2013-0002, NSDS, 2014, pp.10-25. 

2013

159. Cheban D. N., Belitskii--Lyubich Conjecture for C-Analytic Dynamical Systems. Abstracts of the international conferences. Mathematics & Information Technologies: Research and Education (MITRE-2013). August 18-22, 2013, Chisinau (Republic of Moldova), pp.28-29. 

158. Caraballo Tomas and Cheban David, Almost Periodic Motions in Semi-Group Dynamical Systems and Bohr/Levitan almost periodic solutions of Linear difference equations without Favard's separation condition. Journal of Difference Equations and Applications, Volume 19, Issue 6, 2013, pp.872-897. 

157. Cheban D. N., Asymptotic Stability of Non-autonomus Dynamical Systems. Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, No.1 (71), 2013, pp.11-44. 

156. Cheban D. N. and Mammana C., Markus-Sell's Theorem for Asymptotically Almost Periodic Systems. Chapter in the Book  „Dynamical Systems: Theory, Applications and Future Directions". Editor: Jean Michel Tchuenche (Atlanta, GA , USA). Nova Science Publishers, 2013, pp.1--20. 

155. Cheban D. N., Lyapunov Stability of Non-Autonomous Dynamical Systems. Nova Science Publishers Inc, 2013, xii+275 pp.

154. Cheban D. N., Mammana C. and Michetti E., Global attractors of quasi-linear non-autonomous difference equations: A growth model with endogenous population growth. Nonlinear Analysis: series B, 14 (2013) pp.1716 -1731. 

153. Caraballo Tomas and Cheban David, Almost Periodic and Almost Automorphic Solutions of Linear Differential Equations. DCDS-A, vol. 33, no. 5, 2013, pp.1857-1882. 

152. Caraballo Tomas and Cheban David, On the Structure of the Global Attractor for Infinite-Dimensional Non-autonomous Dynamical Systems with Weak Convergence. Communications on Pure and Applied Analysis (CPAA), vol.12, no.1, 2013, pp. 281-302 

2012

151. Cheban D. N., Markus-Sell's Theorem for Nonautonomous Dynamical Systems. Abstracts of the 20-th Conference on Applied and Industrial Mathematics. Dedicated to Academician Mitrofan M. Ciobanu. Chisinau, August 22-25, 2012, p. 63.

150. Cheban D. N. and Mammana C., Markus-Sell's Theorem for Infinite Dimensional Asymptotically Almost Periodic Systems. Abstracts of the 9-th AIMS International Conference on "Dynamical Systems, Differential Equations and Applications". July 1-5, 2012 Hyatt Regency Grand Cypress (Orlando, Florida, USA), .pp. 246. 

149. Cheban D. N. and Mammana C., Chaotic Attractors of Control Systems. Proceedings, 5th Chaotic Modeling and Simulation. International Conference, 12-15 June 2012, Athene Grece, 2012, pp.131-138. 

148. Cheban D. N. and Mammana C., Chaotic Attractors of Control Systems. Book of abstracts Chaos 2012: 5-th Chaotic Modeling and Simulation International Conference. Editor Christos H. Skiadis. 12-15 June 2012 (Athene, Greece), pp. 29. 

147. Cheban D. N., Sell's conjecture for Non-Autonomous Dynamical Systems. Nonlinear Analysis: TMA, Vol.75, no.7, 2012, pp.3393-3406.  

146. Caraballo Tomas and Cheban David, On the Structure of the Global Attractor for Non-autonomous Dynamical Systems with Weak Convergence. Communications in Pure and Applied Analysis, Vol.11, no.2, 2012, pp.809-828. 

145. Caraballo Tomas and Cheban David, On the Structure of the Global Attractor for Non-autonomous Difference Equations with Weak Convergence. Journal of Difference Equations and Applications, Volume 18, Issue 4, 2012, pp.535-551. 

2011

144. Cheban D. N., G. Sell's conjecture for non-autonomous dynamical systems. Abstracts of international conferences. Mathematics & Information Technologies: Research and Education (MITRE-2011). Dedicated to the 65th aniversary of the Moldova State University. August 22-25, 2011, Chisinau (Republic of Moldova), pp. 32-34.

143. Caraballo Tomas and Cheban David, Levitan/Bohr Almost Periodic and Almost Automorphic Solutions of Second-Order Monotone Differential Equations. Journal of Differential Equations, Vol.251, No.3, 2011, pp.708-727. 

142. Caraballo Tomas and Cheban David, Almost Periodic and Asymptotically Almost Periodic Solutions of  Lienard Equation. DCDS-B, Vol.16, No.3, 2011, pp.703-717 . 

 2010

141. Cheban D. N., Kloeden P. E. and Schmalfuss B., Relation Between pullback and Global Attractors of Nonautonomous Dynamical Systems. Advances in Chaotic Dynamics and Applications. Stability, Oscilations and Optimization of Systems (Editors: C. Cruz-Hernandez and A. A. Martynyuk:  Vol. 4, Cambridge Scientific Publishers, 2010, 280 pp.), pp.1-21.

140. Cheban D. N., Global Attractors of Set-Valued Dynamical and Control Systems. Nova Science Publishers Inc, New York, 2010, xvii+269 pp.

139. Cheban D. N., Compact Global Attractors of Control Systems. Journal of Dynamical and Control Systems, vol.16 (2010), no.1, pp. 23--44. 

138. Boularas Driss and Cheban David, Asymptototic Stability of Switching Systems. Electronical Journal of Differential Equations, 2010 (2010), no.21, pp.1-18. 

2009

137. Cheban D. N. and Mammana C., A  Invariant Manifolds, Almost Periodic and Almost Automorphic Solutions of Seconde-Order Monotone Equations. New Research on Evolution Equations: Editor G. M. N'Guerekata. Nova Science Publishers, Inc. New York, 2009, pp.123--145. 

136. Cheban D. N., Kloeden P. E. and Schmalfuss B., Relation Between pullback and Global Attractors of Nonautonomous Dynamical Systems. Advances in Chaotic Dynamics and Applications. Stability, Oscilations and Optimization of Systems. Editors: C. Cruz-Hernandez and A. A. Martynyuk:  Vol. 4, Cambridge Scientific Publishers, 2009, 280 pp. 

135. Cheban D. N., Asymptotically Almost Periodic Solutions of Differential Equations. Hindawi Publishing Corporation, New York, 2009, ix+186 pp.

134. Caraballo T. and Cheban D., Almost Periodic and Almost Automorphic Solutions of Linear Differential/Difference Equations without Favard's Separation Condition.II J. Differential Equations, 246 (2009), pp.1164--1186. 

133. Caraballo T. and Cheban D., Almost Periodic and Almost Automorphic Solutions of Linear Differential/Difference Equations without Favard's Separation Condition.I J. Differential Equations, 246 (2009), pp.108--128. 

132. Cheban D. N., Mammana C. and Michetti E., Global Attractors of Nonautonomous Difference Equations.  Bulletinul Academiei de Stiinte a Republicii Moldova. Matematica, No.1 (59), 2009, pp.45--57. 

2008

131Cheban D. N. and Schmalfuss B., Invariant Manifolds, Global Attractors, Almost Automrphic and Almost Periodic Solutions of Non-Autonomous Differential Equations. J.Math.Anal.Appl., 340, no.1 (2008), 374-393. 

130. Cheban D. N., Levitan Almost Periodic and Almost Automorphic Solutions of V-monotone Differential Equations. J. Dyn. Diff. Eqns, Vol.20, No.3, 2008, pp.669--697. 

129. Cheban D. N., Mammana C. and Michetti E., Global Attractors of Quasi-Linear Non-Autonomous Difference Equations. Bulletinul Academiei de Stiinte a Republicii Moldova. Matematica, No.1 (56), 2008, pp.84--104. 

2007

128. D. Cheban and C. Mammana. Invariant Manifolds and Almost Automorphic Solutions of Second-Order Monotone Equations. Proceedings: EQUADIFF 11. International cnference on differential equations: Czecho-Slovak series. Comenius University, Bratislava, SLOVAKIA,July 25 - 29, 2007, pp.141-147. 

127. D. Cheban and C. Mammana. Continuous Dependence of Attractors on Parameters of Non-Autonomous Dynamical Systems and Infinite Iterated Function Systems. Discrete and Continuous Dynamical Systems, Vol. 18, No.2-3, 2007, 499-515. 

2006

126. D. Cheban. Markus-Yamabe Conjecture. Communications, The 14-th Conference of Applied and Industrial Mathematics. Chisinau, August 17-19, 2006, pp.107-110. 

125. D. Cheban and C. Mammana. Global Attractors and Almost Periodic Solutions of V-Monotone Non-Autonomous Dynamical Systems. International Congress of Mathematicians, Madrid 2006. Abstracts (Posters, Short Communications, Mathematical Software, Other Activities), p.373. 

124. D. Cheban, C. Mammana and E. Michetti. Global Attractors of Non-Autonomous Difference Equations. 6th AIMS International Conference on Dynamical Systems and Differential Equations, June 25-28, 2006, Poitiers, FRANCE, p.103. 

123. D. Cheban and C. Mammana. Compact Global Attractors of Discrete Inclusions. Nonlinear Analysis, v.65 , No.8, 2006, pp.1669-1687. 

122. D. Cheban and C. Mammana. Almost Periodic Solutions of Non-Autonomous Beverton-Holt Difference Equations. WSEAS TRANSACTIONS on SYSTEMS, Issue 5, Volume 5, May 2006, pp.1048-1053. 

2005

121. Cheban D. N., Dynamical systems in the works of moldavian mathematicians.Elemente de istorie a matematicii si matematica in republica Moldova (Editors: Choban M. M. and Valuta I. I.). Chisinau, 2006, pp.361--367.

120. D. Cheban and C. Mammana. Invariant Manifolds, Almost Periodic and Almost Automorphic Solutions of Second-Order Monotone Equations. International Journal of Evolution Equations, Vol.1, No.4, 2005, pp.319-343.

119. D. Cheban and C. Mammana. Invariant Manifolds and Almost Automorphic Solutions of Second-Order Monotone Equations. Book of Abstracts EQUADIFF 11. International conference on differential equations: Czecho-Slovak series. Comenius University, Bratislava, SLOVAKIA, July 25 - 29, 2005, pp.14. 

118. D. Cheban and C. Mammana. Absolute Asymptotic Stability of Discrete Linear Inclusions. Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, No.1 (47), 2005, pp.43-68. 

117. D. Cheban and C. Mammana. Relation between Different Types of Global Attractors of Non-Autonomous Set-Valued Dynamical Systems. Set-Valued Analysis, Vol.13, No.3, 2005, pp.291-321. 

116. D. Cheban and C. Mammana. Invariant Manifolds, Global Attractors and Almost Periodic Solutions of Non-autonomous Difference Equations. Equadiff 2003. Proceedings of the International Conference on Differential Equations. Hasselt, Belgium 22-26 July 2003. Singapore: World Scientific, 2005, pp.833-838. 

115. D. Cheban and C. Mammana. Relation Between Different Types of Stabilities of Linear Non-Autonomous Dynamical Systems. Proceedings of International Conference: 2004-Dynamical Systems and Applications, pp.205-227, July 5-10, 2005, Antalya, Turkey. 

2004

114. D. Cheban and C. Mammana. Invariant Manifolds, Global Attractors and Almost Periodic Solutions of Non-autonomous Difference Equations. Nonlinear Analysis, Series A, vol.56, No.4, 2004, pp.465-484. 

113. D. Cheban. Global Attractors of Nonautonomous Dissipative Dynamical Systems. Interdisciplinary Mathematical Sciences 1. River Edge, NJ: World Scientific, 2004, xxiii+502 pp.

112. D. Cheban and C. Mammana. Relation between Different Types of Stabilities for Linear Non-Autonomous Dynamical Systems. International Conference "Dynamical Systems and Applications - 2004". Book of Abstracts. July 05-10, 2004, Antalya, Turkey, p.32.

111. D. Cheban and C. Mammana. Compact Global Chaotic Attractors of Discrete Control Systems. International Conference "Differential Equations and Related Topics". Book of Abstracts. Moscow, May 16-22, 2004, p.44.

110. D. Cheban and C. Mammana. Asymptotic Stability of Autonomous and Non-Autonomous Discrete Linear Inclusions. Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, No.3 (46), 2004, pp.41-52. 

109. D. Cheban and J. Duan, Almost Periodic Solutions and Global Attractors of Nonautonomous Navier-Stokes Equations. Journal of Dynamics and Differential Equations, vol.16, No.1, 2004, pp. 1-34. 

108. D. Cheban and J. Duan, Recurrent Motions and Global Attractors of Nonautonomous Lorenz Systems. Dynamical Systems: An International Journal, vol.19, No.1, 2004, pp.41-59. 

2003

107. D. Cheban, J. Duan and A. Gherco. Generalization of Second Bogoliubov's Theorem for Non-Almost Periodic Systems. Nonlinear Analys: Real World Applications, vol.4, No.4, 2003, pp.599-613. 

106. D. Cheban and C. Mammana. Upper Semicontinuity of Attractors of Set-Valued Nonautonomous Dynamical Systems. International Journal of Pure and Applied Mathematics, vol.4, No.5, 2003, pp.385-418. 

105. D. Cheban, P. Kloeden and B. Schmalfuss. Global Attractors of V-monotone Nonautonomous Dynamical Systems. Bulletin of Academy of Sciences of Republic of Moldova. Mathematics, 2003. No.1(41), pp.47-57. 

104. V.P. Bongolan-Walsh, D. Cheban and J. Duan. Recurrent Motions in the Nonautonomous Navier-Stokes System. Continuous and Disrete Dynamical Systems - serie B, vol.3, No.2, 2003, pp.255-262. 

103. D. Cheban, J. Duan and A. Gherco. Heteroclinic Points of Multi-dimensional Dynamical Systems. Electronic Journal of Differential Equations, vol.2003(2003), No.41, pp.1-21. 

102. D. Cheban. Global Attractors of Dynamical Systems. Electronic Journal Differential Equations and Control Processes. vol.3, pp.1-56. 

101. D. Cheban. Almost Periodic Solutions of Monotone Almost Periodic Equations. International Conference on Differential Equations. Equadiff'03 (July 22-26, Hasselt, BELGIUM), p.25.

100. D. Cheban and C. Mammana. Invariant manifolds, Global attractors and Almost Periodic Solutions of Non-autonomous Difference Equations. International Conference on Differential Equations. Equadiff'03 (July 22-26, Hasselt, BELGIUM), p.25.

2002

99. D. Cheban, P. Kloeden and B. Schmalfuss. The relation between Pullback and Global Attractors of Nonautonomous Dynamical Systems. Nonlinear Dynamics and Systems Theory, vol.2, No.2(2002), pp.9-28.  

98. D. Cheban. Upper Semicontinuity of Attractors of Nonautonomous Dynamical Systems for Small Perturbations. Electronic Journal of Differential Equations, vol.2002(2002), No.42, pp.1-21. 

97. D. Cheban. Global Attractors of Nonautonomous Dynamical Systems. (Press of the State University of Moldova, Chisinau, MOLDOVA. (in Russian) 

96. D. Cheban. Asymptotical Almost Periodic Solutions of Differential Equations. (Press of the State University of Moldova, Chisinau, MOLDOVA. (in Russian) 

2001

95. D. Cheban. Global Attractors of Quasihomogeneous Nonautonomous Dynamical Systems. Electronic Journal of Differential Equations, vol.2001(2001), No.10, pp.1-19. 

94. D. Cheban. Global Attractors of Quasihomogeneous Nonautonomous Dynamical Systems. Proceedings of the International Conference on Dynamical Systems and Differential Equations (May 18-21, Kennesaw, USA). Discrete and Continuous Dynamical Systems, 2001, Added Volume, pp.96-101. 

93. D. Cheban. The Ordinary Differential Equations. Problem Solver. (Press of the State University of Moldova, Chisinau, MOLDOVA), 408 p.

92. D. Cheban. Uniform Exponential Stability of Linear Periodic Systems in Banach Spaces. Electronic Journal of Differential Equations, vol. 2001 (2001), No.03, pp.1-12. 

91. D. Cheban, B. Schmalfuss and P. Kloeden. Pullback Attractors in Dissipative Nonautonomous Differential Equations under Discretization. Journal of Dynamics and Differential Equations, vol.13, No.1, pp.185-213. 

90. D. Cheban. An analog of the Cameron-Johnson's Theorem for Linear C-analytic Equations in Hilbert space. Proceedings of the International Conference on Differential Equations and Related Topics dedicated to the Centenary Anniversary of Ivan Petrovskii (May 22-27, Moscow, RUSSIA), pp.86-87.

89. D. Cheban. Global Pullback Atttactors of C-Analytic Nonautonomous Dynamical Systems. First Conference of the Mathematical Society of Republic of Moldova (August 16-18, Chisinau, MOLDOVA). (in Russian)

88. D. Cheban. Global Pullback Atttactors of C-Analytic Nonautonomous Dynamical Systems. Stochastics and Dynamics. vol.1(2001), No.4, pp.511-535.

87. D. Cheban. Global Pullback Atttactors of C-Analytic Cocycles. Bulletin of Academy of Sciences of Republic of Moldova. Mathematics, No.2(36), pp.65-74.

86. D. Ceban and A. Suba. Problemele de Ecuatii Diferentiale. Press of the State University of Moldova (Chisinau, MOLDOVA). (in Russian)

2000

85. D. Cheban, P. Kloeden and B. Schmalfuss. Pullbac Attractors under Discretization. Proceeding EQUADIFF'99 (Berlin, GERMANY), vol.2 (Edited by B. Fiedler, K. Groger and J. Sprekels). World Scientific 2000, pp.1024-1029.

84. D. Cheban. Uniform Exponential Stability of Linear Almost Periodic Systems in Banach spaces. Electronic Journal of Differential Equations, vol.2000(2000), No.29, pp.1-18. 

83. D. Cheban. The Analog of the Cameron-Johnson's Theorem for Linear C-analytic Equations in Hilbert Space. Mathematical Notes, vol.68, No.6 (2000), pp.935-938. 

1999

82. I. Bronshteyn, D. Cheban and N. Vulpe. Boris Alexeevich Shcherbakov (A tribute in honor of his 75th birthday). Bul. Acad. Stiinte Repub. Mold., Mat. 1999, no. 1, pp.130--134.

81. D. Cheban B. Schmalfuss. Global Attractors of Nonautonomous Disperse Dynamical Systems and Differential Inclusions. Bulletin of Academy of sciences of Republic of Moldova. Mathematics, 1999, No.1(29), pp.3-22. 

80. D. Cheban. Global Attractors of Non-autonomous Dynamical Systems and Almost Periodic Limit Regimes of Some Classes of Evolutionary Equations. Anale Faculatii de Matimatica si Informatica, vol.1, 1999, pp.1-26. 

79. D. Cheban. Relations Between Different Types of Stability of Linear Almost Periodic Systems in Banach Spaces. Electronic Journal of Differential Equations, vol.1999 (1999), No.46, pp.1-9. 

1998

78. Cheban D. N., Letter to the editors: ``Bounded solutions of linear almost periodic systems of differential equations''[Izv. Ross. Akad. Nauk Ser. Mat. 62 (1998), no. 3, 155--174.] Izv. Ross. Akad. Nauk Ser. Mat.  63 (1999),  no. 3, 224.

77. D. Cheban. Global Attractors of Infinite-dimensional Non-autonomous Dynamical Systems, II. Bulletin of Academy of Sciences of Republic of Moldova. Mathematics, 1998, No.2 (27), p.25-38.

76. D. Cheban. The Asymptotics of Solutions of Infinite-dimensional Homogeneous Dynamical Systems. Mathematical Notes, 1998, vol.63, No.1, p.115-126. 

75. D. Cheban. Bounded Solutions of Linear Almost Periodic Systems of Differential Equations. Bulletin of Academy of Sciences of Russia, Mathematics Series, 1998, vol.62, No.3, p.155-174. 

1997

74. D. Cheban. Global Attractors of Infinite-dimensional Nonautonomous Dynamical Systems, I. Bulletin of Academy of Sciences of Republic of Moldova. Mathematics, 1997, No.3 (25), p.42-55. 

73. D. Cheban. Higher Mathematics (brief handbook). Evrika (Chisinau, MOLDOVA), 1997, 70 p. (in Russian).

72. D. Cheban. Higher Mathematics (brief handbook). Evrika (Chisinau, MOLDOVA), 1997, 70 p. (in Romanian).

1995

71. D. Cheban. On the Structure of Compact Asymptotically Stable Sets of C-analytic Almost Periodic Systems. Abstract of the speech at Scientific Conference at Moldavian State University (Chisinau, MOLDOVA), 1995.

70. D. Cheban. Converse of the Lyapunov's theorem on Asymptotic Stability by the First Approximation for C-analytic Non-autonomous Systems. Mathematical Notes, 1995, vol.57, No.1, p.139-142.

69. D. Cheban. Global Attractors of Infinite-dimensional Systems, II. Bulletin of Academy of Sciences of Republic of Moldova. Mathematics, 1995, No.1 (17), p.28-37.

68. D. Cheban and D. Fakeeh. Global Attractors of Infinite-dimensional Systems, III. Bulletin of Academy of sciences of Republic of Moldova. Mathematics, 1995, No.2-3 (18-19), p.3-13.

67. D. Cheban. On the Structure of Compact Asymptotically Stable Sets of C-analytic Almost Periodic Systems. Differential Equations, 1995, vol.31, No.12, p.2025-2028.

1994

66. D. Cheban and D. Fakeeh. Global Attractors of Dynamical Systems without Uniqueness. Sigma (Chisinau, MOLDOVA), 1994. (in Russian)

65. D. Cheban. Global Attractors of Infinite-dimensional Systems, I. Bulletin of Academy of Sciences of Republic of Moldova. Mathematics, 1994, No.2 (15), p.12-21.

1993

64. D. Cheban and D. Fakeeh. Connectivity of the Levinson's Centre of Compactly Dissipative Dynamical System without Uniqueness. Bulletin of Academy of Sciences of Republic of Moldova. Mathematics, 1993, No.1 (11), p.15-22.

1992

63. D. Cheban. Some Problems of the Theory of Dissipative Dynamical Systems, II.Functional Methods in the Theory of Differential Equations (Mathematical researches, issue 124), p.106-122.

62. D. Cheban and D. Fakeeh. Asymptotic Stability of Compact Semi-invariant Sets of Disperse Dynamical Systems and Dynamical Systems with Multi-dimensional Time. Preprint, Mold NIINTI, 1992, No.1276.

61. D. Cheban. Locally Dissipative Dynamical Systems and Some of Their Applications. Bulletin of Academy of Sciences of Republic of Moldova. Mathematics, 1992, No.1 (8), p.7-14.

60. D. Cheban and D. Fakeeh. Disperse Dissipative Dynamical Systems. Abstracts of 8th International Conference EquaDiff-92 (1992,Samarkand, USSR), p.115.

59. D. Cheban. Global Uniform Asymptotic Stability of Solutions of Nonautonomous Systems. Abstract of the speech at the Republican Scientifically-methodical Conference (1992, Odessa, UKRAINE), vol. 1, p.23.

1991

58. D. Cheban and D. Fakeeh. Discontinuous Dissipative Dynamical Systems.Collection "Discontinuous dynamical systems", abstract of the speech at the Scientific School-seminar (September 17-20, 1991, Uzhgorod, UKRAINE), p.69.

57. D. Cheban and D. Fakeeh. Dissipative Dynamical Systems with Multi-dimensional Time and Disperse Dynamical Systems. Speech thesis at scientific conference, preprint, Mold NIINTI, 1991, No.1229.

56. D. Cheban. Dissipative Functional Differential Equations. Bulletin of Academy of Sciences of Republic of Moldova. Mathematics, 1991, No.2 (6), p.3-12.

55. D. Cheban. Biasymptotically Almost Periodic Solutions of Differential Equations. Abstracts of the International Conference of Differential Equations (1991, Moscow, RUSSIA), Uspekhi Matematicheskikh Nauk, vol. 46, p.199.

1990

54. D. Cheban. On the Structure of the Levinson's Centre of Dissipative Dynamical Systems with the Hyperbolicity Condition on the Closure of a Set of Recurrent Motions. Differential Equations, vol. 26, No.5, p.913-914.

53. D. Cheban. On the Structure of the Levinson's Centre of a Dissipative Dynamical System with the Hyperbolicity Condition on the Set of Recurrent Motions. Bulletin of Academy of Sciences of Republic of Moldova. Mathematics, 1990, No.2 (3), p.34-43.

52. D. Cheban. Homoclinical Trajectories of Nonautonomous Systems. Abstract of the speech at the 2nd All-Union conference on Nonlinear Oscillations of Mechanical Systems (1990, Gorky, USSR). (in Russian)

51. D. Cheban and D. Fakeeh. Dissipative Dynamical Systems with Multi-dimensional Time and Disperse Dynamical Systems. Speech thesis at Scientific Conference at the State University of Moldova (1990, Chisinau, USSR). (in Russian)

50. D. Cheban. Integral equations. Teaching-methodical manual at the section "Differential and integral equations" of the course of high mathematics for the students of the faculty of physics (1990, State University of Moldova). (in Russian)

1989

49. D. Cheban. Nonautonomous Dissipative Dynamical Systems with a Hyperbolic Subset of Centre (one-dimensional case). Mathematical Notes, vol. 45, No.6, p. 93-98.

48. D. Cheban. On One problem of Hale. Abstract of the speech at the 7th All-Union Conference of the Qualitative Theory of Differential Equations (1989, Riga, USSR), p.227.

47. D. Cheban. Some Problems of the Theory of Dissipative Dynamical Systems, I.Differential equations and mathematical physics (Chisinau, USSR, "Shtiintsa"), p. 147-163.

46. D. Cheban. On One Problem of Hale. Mathematical Notes, vol. 46, No.1, p. 120-121.

45. D. Cheban. Nonautonomous Dynamical Systems with Convergence. Differential Equations, vol. 25, No.9, p.1633-1635.

1988

44. D. Cheban. Impulse and Difference Dissipative Systems with Periodic Coefficients. Research on Differential Equations and Mathematical Analysis (Chisinau, "Shtiintsa"), p.127-142.

43. D. Cheban. Averaging Principle on the Semi-axis for Dissipative Systems.Dynamical Systems and Equations of Mathematical Physics (Chisinau, "Shtiintsa"), p.149-161.

42. D. Cheban. On the Structure of the Levinson Centre's of Dissipative Dynamical Systems. Differential Equations, vol. 24, No.6, p.1086.

41. D. Cheban. Nonautonomous Dissipative Dynamical Systems. Method of Lyapunov Functions. Problems of the Qualitative Theory of Differential Equations, (Novosibirsk, USSR), p.56-64.

40. D. Cheban. On the Structure of the Levinson's Centre of Dissipative Dynamical Systems. Differential Equations, vol. 24, No.9, p.1564-1576.

1987

39. D. Cheban. Nonautonomous Dissipative Dynamical Systems. Method of Lyapunov functions. Differential Equations, vol. 23, No.3, p.464-474.

38. D. Cheban. Boundedness, Dissipativity and Almost Periodicity of Solutions of Linear and Weakly Nonlinear Systems of Differential Equations. Dynamical Systems and Boundary Value Problems (Chisinau, "Shtiintsa"), p.143-159.

37. D. Cheban and B. Scherbakov. Barbashin-Krasovsky's Theorem for Nonautonomous Dynamical Systems. Abstract of the speech at the 5th All-Union Chetaev Conference on Analytic Mechanics, Stability and Motion Control (1987, Kazan, USSR), p.106.

1986

36. D. Cheban. Nonautonomous Dissipative Dynamical Systems. Soviet Mathematical Report, vol. 33, No.1, p.207-210.

35. D. Cheban. One Test of the Convergence of Nonlinear Systems in Hilbert Spaces. Differential Equations and Their Invariants (Chisinau, "Shtiintsa"), p.136-143.

34. D. Cheban. Test of the Convergence of Nonlinear Systems by the First Approximation. Differential Equations and Their Invariants (Chisinau, "Shtiintsa"), p.144-150.

33. D. Cheban. Nonautonomous Dynamical Systems. Lyapunov Functions' Method.Abstract of the speech at the 6th All-Union Conference on Qualitative Theory of Differential Equations (1986, Irkutsk, USSR), p.197-198.

32. D. Cheban. C-analytic Dissipative Dynamical Systems. Differential Equations, vol. 22, No.11, p.1915-1922.

31. D. Cheban. On Nonautonomous Dissipative Dynamical Systems. Uspekhi Matematicheskikh Nauk, vol. 41, No.4 (250), p.169.

30. D. Cheban. Quasiperiodic Solutions of Dissipative Systems with Quasiperiodic Coefficients. Differential Equations, vol. 22, No.2, p.267-278.

1985

29. D. Cheban. On the Second Lyapunov's Method in the Theory of Stability of Dynamical Systems. Differential Equations and Dynamical Systems (1985, Chisinau, "Shtiintsa"), p.139-147.

28. D. Cheban. Nonautonomous Dissipative Dynamical Systems. Differential Equations, vol. 21, No.5, p.913-914.

27. D. Cheban. C-analytic Dissipative Dynamical Systems. Abstracts of the 3rd International Conference of Differential Equations and Applications (1985, Roosse, BULGARIA), p.141.

1984

26. D. Cheban. Dynamical Systems of Translations in the Spaces of Functions and Distributions. Research on the Functional analysis and differential equations. Kishinev, ''Shtiintsa'', 1984, p. 130-142.

25. D. Cheban. Periodic and Quasiperiodic Solutions of Linear Differential Equations. Differential Equations, vol. 20, No.8, p.1455-1456.

24. D. Cheban. On the Stability of Levinson's Centre of Nonautonomous Dissipative Dynamical Systems. Differential Equations, vol. 20, No.11, p.2016-2018.

1983

23. D. Cheban. Compatible Solutions of the Differential Equation x’’=f(t,x) in a Hilbert Space. Research on Differential Equations (1983, Chisinau, "Shtiintsa"), p.101-111.

22. D. Cheban. Compatible Solutions of Linear Partial Differential Equations.Research on Differential Equations (Chisinau, "Shtiintsa"), p.112-122.

21. D. Cheban. Dissipative Dynamical Systems. Abstract of the speech at the 2nd Scientific Conference on Differential Equations (1983, University of Sciences and Technology, Alger, ALGERIE), p.40-41.

1981

19. D. Cheban and I. Cheban. Anti Almost Periodic Solutions of Differential Equations. Research on the Functional Analysis and Differential Equations (1981, Chisinau, "Shtiintsa"), p.100-108.

18. D. Cheban and A. Shipkov. Bounded Solutions of Differential Equations with Complex Time. Research on the Functional Analysis and Differential Equations (1981, Chisinau, "Shtiintsa"), p.116-123.

1980

17. D. Cheban. Some Theorems of Injection of Dynamical Systems. Algebraic Invariants of Dynamical Systems (1980, Chisinau, "Shtiintsa"), p.118-122.

16. D. Cheban. Theory of Linear Differential Equations (selected chapters). 1980, Chisinau, "Shtiintsa". (in Russian)

1979

15. D. Cheban and B. Scherbakov. Asymptotically Almost Periodic Solutions of Linear and Quasi-linear Differential Equations. Speech thesis at the All-Union Conference on Asymptotic Methods of the Theory of Singularly-perturbed Equations, part 1 (1981, Alma-Ata, USSR), p.164-165.

14. D. Cheban. Linear Differential Equations Satisfying the Condition of Favard.Abstract of the speech at the 5th All-Union Conference of the Qualitative Theory of Differential Equations (1979, Chisinau, USSR), p.181-182.

13. D. Cheban and I. Cheban. Anti Almost Periodic Solutions of Differential Equations. Abstract of the speech at the 5th All-Union Conference of the Qualitative Theory of Differential Equations (1979, Chisinau, USSR), p.181-182.

1978

12. D. Cheban. Some Properties of Linear Systems of Differential Equations with Asymptotically Almost Periodic Coefficients. Differential Equations, vol.14, No.5, p.940-942.

11. D. Cheban and V. Amelkin. Periodic Solutions of Differentially-operational Equations. Abstract of the speech at the 4th All-Union School of the Theory of Operators in the Functional Spaces (1978, Minsk, USSR), p.9-10.

10. D. Cheban and V. Chernii. On a Question of Exponential Dichotomy on Semi-axis of Solutions of Differential Equations. Differential Equations, vol. 14, No.11, p.2012-2018.

1977

9. D. Cheban. On the Boundedness and Asymptotic Almost Periodicity of Solutions of Differential Equations Solutions. Mathematical Sciences, No.1, p.72-76.

8. D. Cheban. On the Comparability of Points of Dynamical Systems with Regard to the Character of the Recurrence Property in the Limit. Mathematical Sciences, No.1, p.66-71.

7. D. Cheban and B. Scherbakov. Poisson Asymptotic Stability of Motions of Dynamical Systems and their Comparability with Regard to the Recurrence Property in the Limit. Differential Equations, vol. 13, No.5, p. 898-906.

6. D. Cheban. Poisson Asymptotic Stability of Solutions of Operational Equations.Differential Equations, vol.13, No.8, p.978-983.

5. D. Cheban. On the Problem of Structural Stability of Linear Systems of Differential Equations with Almost Periodic Coefficients. Differential Equations, vol.13, No.11, p.2099-2101.

1976

4. D. Cheban and B. Scherbakov. Poisson Asymptotically Stable Motions of Dynamical Systems. Abstract of the speech at the 4th All-Union Conference on the Qualitative Theory of Differential Equations (1976, Ryazan, USSR), p.173.

1974

3. D. Cheban. Uniformly Isochron Solutions of Linear System of Differential Equations. Mathematical researches, vol.32, No.2, p.204-213.

2. D. Cheban. Poisson Asymptotically Stable Solutions of Non-linear Differential Eequations. Mathematical researches, vol.37, No.3, p.231-237.

1973

1. D. Cheban. On the Asymptotic Behavior of Solutions of Differential Equations.Abstract of the speech at the 3rd All-Union Conference on the Qualitative Theory of Differential Equations (1973, Samarkand, USSR), p.216.

 

 

Рецензент научных журналов

Acta Mathematicae Applicatae Sinica (China)

Annali di Matematica Pura ed Applicata (Italy, Florence)

Applicable Analysis (Int. England)

Applied Mathematics and Computation (Int. USA)

Applied Mathematics Letters (Int. USA)

Boundary Value Problems (Int. USA)
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica (Republic of Moldova, Chişinău)

Central European Journal of Mathematics (Int. Germany)

Discrete and Continuous Dynamical Systems: Series A, B and S (Int. USA).

Dynamical Systems: An international Journal. (Int., UK)

Electronical Journal of Differential Equations (Int. USA)

Indian Journal of Pure and Applied Mathematics (India, New Delhi)

Journal of Differential Equations (Int. USA)

Journal of Integral Equations and Applications (Int. USA)

Journal of Mathematical Analysis and Applications: Series A and B (Int, USA)

Lecture Notes in Mathematics (Int. Germany, Springer)

Mathematical and Computer Modeling (Int. USA)

Result in Mathematics (Int. Switzerland)

Revista Matematica Complutense (Int. Spain)

SIAM: Journal of Control and Optimization (Int. USA)

Stochastics and Dynamics (Int. USA)

 

Рецензент:

Mathematical Reviews, Zentrablatt

Издательская деятельность:

Приглашенный член редколлегии:

Proceedings of International conference "2004 - Dynamical Systems and Applications" (July 05-10 2004, Antalya, Turkey).

Ассоциированный издатель:

- International Journal of Mathematics and Computations.

- журнала “Nonautonomous Dynamical Systems”.

- Studia Universitatis Moldaviae. Seria “Stiinte Exacte si Economice”

 

Говорю на сдедующих языках:

Русский, Французский, Румынский, Английский, Турецкий и Итальянский.

 

Персональная страничка : http://fmi.usm.md/en/davidcheban

Другое

Гранты:

2015

The Visiting Scholar Grant for collaboration with teaching and research activity (September –November 2015, Italy, Macerata).

2012

FP7-PEOPLE-2012-IRSES-316338 (2012--2014 years). 

PROGRAMMI DI RICERCA SCIENTIFICA DI RILEVANTE INTERESSE NAZIONALE RICHIESTA DI COFINANZIAMENTO (Ministero dell' Istruzione dell' Universit  e della Ricerca, Italy). University of Macerata (May - August 2012) under the Grant PRIN-2009, Visiting Professor.

2010:

  • The Programa de Movilidad de Profesores Universitarios y Extranjeros (Ministerio de Educacion, Spain), grant SAB2009-0078 (Sevilla, Spania: februarie 2010 – septembrie 2010), cercetător invitat;
  • Proiectul Comportări asimptotice şi control în sisteme de evoluţie guvernate de ecuaţii diferenţiale din cadrul Programului de stat Cercetări fundamentale şi aplicative în matematică (Nr. _cod 06411.411.029f, 2010-2013), Cercet. şt. coord.

2007: Grant of the Consejeri a de Innovacion Ciencia y Empresa de la Junta de Andalucia

(Seville, Spania: noiembrie 2007 – ianuarie 2008), cercetător invitat;

2006: DAAD grant (Paderborn, Germania: noiembrie – decembrie 2006), grant personal;

2003: Grant of European Commission (Marie Curie 6th Program, mai 2003 – octombrie 2004),

cercetător invitat

2002: NATO-CNR grant (Italia: septembrie 2002 februarie 2003), grant personal;

2001:

  • Grant CRDF&MRDA (grant No.MM1-3016, septembrie 2001 – februarie 2003), conducător de proiect;
  • Grant al Guvernul Republicii Moldova, Cercet. şt., coordinator (grant No.01.004C, 2001-2002);

2000:

  • Travel grant of Soros International Scientific Foundation (mai 2000), grant personal;
  • DAAD grant (Frankfurt am Main, Bremen, Merseburg, Germania: septembrie – noiembrie 2000), grant personal;

1999: DFG grant (Frankfurt am Main, Germania: septembrie – octombrie 1999), cercetător

invitat;

1998: RIP Research grant (Oberwolfach, Germania: martie 1998) cu profesorii P.E.Kloeden

(Universitatea din Frankfurt, Germania) şi B.Schmalfuss (University din Merseburg,

Germania);

1993: Grant of Soros International Scientific Foundation, grant personal.

 

Международное научное сотрудничество:

 

На протяжении многих лет сотрудничаю с представителями научных школ из России, Белорусии, Германии, США, Испании, Италии, Франции и Китая. Более тесные связи и совместные публикации имею с учеными из США (Prof. J. Duan – Illinois Institut of Tehnology), Германии (Prof. P. E. Kloeden – University of Frankfurt, Prof. B. Schmalfuss – Universitaty of Padernborn), Италии (Prof. C. Mamman и Dr. E. Michetti – Universitaty of Macerata), Испании (Prof. T. Caraballo – University of Sevilla), Франции (Prof. Boularas Driss – University of Limoges) и Китая (Prof. Zhenxin LiuDalian University of Technology).