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FACULTY OF MATHEMATICS AND COMPUTER SCIENCE

David Cheban


First Name
David
Last Name
Cheban
Scientific degree
doctor habilitatus
Academic title/position
professor
Department
Mathematics Department
Education

Curriculum Vitae

General Information:

Full Name: David Nikolai Cheban
Date and place of birth: April 25, 1952, v. Cioc-Maidan, Comrat district, Republic of Moldova
Citizenship: Republic of Moldova (former USSR)
Family status: married, two children (son - 1977 and daughter - 1982).

Education:

High School (1959-1969).

Ms (1969-1974):
State University of Moldova,
Faculty of Mathematics and Cybernetics.

PhD (1974-1977):
State University of Moldova,
Chair of Differential Equations

Dr. of Sc. (1986-1988):
State University of Moldova,
Chair of Differential Equations

Languages:

- Russian, French, Turkish (perfect),
- English, Romania, Italian (well),

Social-scientific activity:

- Member of the Special Council of Defending of Theses (Ph.D. andDr.Sc.) on the speciality Differential Equations (Republic of MOLDOVA), 1993-2003;
- Expert of the Highest Certifying Commission for Entitling of Scientific Titles and Degrees at the Government of Republic of Moldova, 1996-2000;

The scetch of my biography is included in the "Who's Who in the World" and "Who's Who in America" encyclopedias.

Awards:

- Honorous diploma in the field of mathematics (1974);
- Golden Medal of the Ministry of Education of Republic of Moldova: Best Student's Scientific Work (1974);
- Honorary deed of the Ministry of Education of Soviet Union: Best Student's Scientific Work (1975);
- Best young scientist of the State University of Moldova (1982);

- Honorary deed of the Ministry of Education of Republic of Moldova (2011).

 

 

Educational background

 

 

High Education (1969-1974) at:
State University of Moldova, MOLDOVA, USSR,
Faculty of Mathematics and Cybernetics,
Department of Mathematics,
Chair of Differential Equations.

Master's thesis "Asymptoticaly Stable in the Sense of Poisson Solutions of Differential Equations". Thesis Advisor - Prof. B.Shcherbacov. 

Awards:
- Honourous diploma in the field of mathematics,
- Golden Medal of Minister of education of Republic of Moldova: best student's scientific work (1974),
- Honorary deed of Minister of Education of Soviet Union: best student's scientific work (1975),

- Honorary deed of the Ministry of Education of Republic of Moldova (2011).

First Post Graduation (1974-1977) at:
State University of Moldova,
Faculty of Mathematics and Cybernetics,
Department of Mathematics,
Chair of Differential Equations.

PhD (Candidate of Sciences in USSR) (1978) at:
University of Belorussia, USSR.

PhD thesis "Asymptotic Stability in the Sense of Poisson of Motions of Dynamical Systems and Solutions of Differential Equations"(approved by the USSR Highest Certifying Commission), Thesis Advisor - Prof. B. Shcherbacov. The official opponents: Prof. A. Sharkovsky, PhD V. Amelkin 

Award: best young scientist of the State University of Moldova (1982).

Courses of French language (10 months, September 1979 - June 1980):
Honorous diploma of State University of Kiev, Kiev, UKRAINE.

Courses of French language (1,5 months, July - August 1980):
University of Jean Paul Valerie, Montpillier, FRANCE.

Second Post Graduation (1986-1988) at:
State University of Moldova,
Faculty of Mathematics and Cybernetics,
Department of Mathematics,
Chair of Differential Equations.

Dr.Sc. (Doctor of Sciences in the USSR), 1991.
Thesis "Non-Autonomous Dissipative Dynamical Systems". The official opponents: Profs A. Myshkis, E. Grebennikov and I. Gaishun. 
National Academy of Science of Republic of Belorussia (approved by the USSR Highest Certifying Commission). 

 

Professional experience

Academic positions:

State University of Moldova (MOLDOVA):
- Assistant Professor (1977 - 1982)
- Associated Professor (1982 - 1992)
- Professor (1992 - 2020)
- Principal Investigator (2020 – present)
University of Sciences and Technology of Alger (ALGERIE):
Senior lecturer (1980 - 1983)

 

 

Visiting professor

2019

School of Mathematical Sciences, Dalian University of  Technology (November – December 2019, China, Dalian).

2018

School of Mathematical Sciences, Dalian University of  Technology (March – May 2018, China, Dalian).

2017

School of Mathematical Sciences, Dalian University of  Technology (March – May 2017, China, Dalian).

2016

School of Mathematical Sciences, Dalian University of  Technology (March – May 2016, China, Dalian).

Center for Mathematical Sciences, Huanzhong University of cience and Technology in  Wuhan (December 2016, China, Wuhan).

2015

University of Macerata (September – November 2015, Italy, Macerata – Prof. C. Mammana)

2014

University of Sao Paulo (Sao Carlos, Brazil – Prof. A. Carvalho)

University of Sevilla (Sevilla, Spain – Prof. T. Caraballo)

2013

University of Granada (Granada, Spain – Prof. R. Ortega)

2012

University of Macerata (Macerata, Italy – Prof. C. Mammana)

University of Ancona (Ancona, Italy – Prof. E. Tomasini)

2011

University of Seville (Seville, Spain – Prof. T. Caraballo)

2010

University of Seville (Seville, Spain – Prof. T. Caraballo)

2008

University of Limoges (Limoges, France - Prof. D. Boularas)

2007

University of Seville (Seville, Spain - Prof. T. Caraballo) 

2006

University of Paderborn (Paderborn, Germany - Prof. B. Schmalfuss)

2003-2004

University of Ancona (Ancona, ITALY – Prof. Enrico Tomasini)

2002

Illinois Institute of Technology (Chicago, USA – Prof. Jinqiao Duan)

University of Missouri (Columbia, USA – Profs Carmen Chiconi and Yurii Latushkin)

University of Florence (Florence, ITALY – Prof. Russell Johnson)

University of Macerata (Macerata, ITALY – Prof. Cristiana Mammana)

2000

University of Bremen (Bremen, GERMANY – Prof. Ludwig Arnold)

University of Merseburg (Merseburg, GERMANY – Prof. Bjoern Schmalfuss)

University of Frankfurt (Frankfurt am Main, GERMANY – Prof. Peter Kloeden)

1999

University of Merseburg (Merseburg, GERMANY – Prof. Bjoern Schmalfuss)

University of Frankfurt (Frankfurt am Main, GERMANY – Prof. Peter Kloeden)

1998

Institute of Mathematics of Oberwolfach (Oberwolfach, GERMANY – Profs Peter Kloeden and Bjoern Schmalfuss)

1997

University of Merseburg (Merseburg, GERMANY – Prof. Bjoern Schmalfuss)
 

1984

Moscow State University of M.V.Lomonosov (Moscow, RUSSIA - Prof. V. Millionshchikov)

1976

Moscow State University of M.V.Lomonosov (Moscow, RUSSIA - Profs. B. Demidovich and V. Millionshchikov)

Didactic activity

Teaching experience:

more than 40 years of courses in the next disciplines:
- ordinary differential equations,
- partial differential equations,
- calculus,
- general mathematics (for non-mathematical faculties),

and the following special courses for graduate and post-graduate students:
- autonomous dynamical systems,
- non-autonomous dynamical systems,
- linear differential equations in the Banach spaces,
- dissipative dynamical systems,
- global attractors of dynamical systems,
- asymptotic methods in the theory of differential equations,
- almost periodic functions and differential equations,
- differential equations and non-standard analysis,
- distributions and their applications to differential equations,
- theory of stability of dynamical systems.

Manuals for students:

1. The Ordinary Differential Equations. Problem Solver. Chisinau, USM, 2001, p.408 (in Russian).
2. Probleme de ecuatii diferentiale (with A. Suba). Press of the State University of Moldova, Chisinau, MOLDOVA, 2001, p.250. (in Romanian).
3. Integral equations. Teaching-methodical manual at the section "Differential and integral equations" of the course of high mathematics for students of the Faculty of Physics. State University of Moldova, Chisinau, MOLDOVA, 1990.
4. High Mathematics (brief handbook). "Evrika", Chisinau, MOLDOVA, 1997 (in Russian and Romanian).

Scientific activity

Publications

 

186 scientific works, including 10 monographs:

 

Monographs:

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

2. David N. Cheban, Global Attractors of Nonautonomous Dynamical and Control Systems. 2nd Edition. Interdisciplinary Mathematical Sciences, vol.18, River Edge, NJ: World Scientific, 2015, xxv+589 pp. 

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

4.  D. N., Global Attractors of 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.
 

 

List of publications:

 

2020

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. View text

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. View text

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.

 

 

Other

Grants awarded

 

 

2015

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

2014

FP7-PEOPLE-2012-IRSES-316338 (August--October 2014, University of Sao Paulo, Sao Carlos, Brazil), Visiting Professor.

2013

FP7-PEOPLE-2012-IRSES-316338 (May—June 2013,Belorussian State University, Minsk, Belorussia), Visiting Professor.

Erasmus Mundus -- EMERGE scholarship (December 2013 – January 2014, University of Granada, Granada, Spain), Visiting Professor.

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 (University of Seville, Seville, Spain: February 2010 - September 2010), Visiting Researcher.

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 (University of Seville, Seville, Spain: November 2007 - January 2008), Visiting Research. 

2006

DAAD grant (November - December 2006: Paderborn, Germany), Personal grant.

2003

Grant of European Commission (Marie Curie 6th Program, May 2003 - October 2004), Visiting Researcher.

2002

NATO-CNR grant (September 2002 - February 2003, ITALY), Personal grant.

2001

Grant of Scientific Committee of Government of Republic of Moldova, Coordinator (2001-2002).

Grant CRDF&MRDA (grant No.MM1-3016, September 2001 - February 2003), Principal Investigator.

2000

Travel grant of Soros International Scientific Foundation (May 2000), Personal grant.

DAAD-grant (September, 01 - November, 30, Frankfurt am Main, Bremen, Merseburg, GERMANY), Personal grant.

1999

DFG-grant (September, 15 - October, 15, Frankfurt am Main, GERMANY), Visiting Researcher.

1998

RIP Research grant (March, 01 - March, 14, Oberwolfach, GERMANY), with Profs. P.E.Kloeden (University of Frankfurt, GERMANY) and B.Schmalfuss (University of Merseburg, GERMANY).

1993

Grant of Soros International Scientific Foundation.

 

 

Scientific conferences

 

2020

53. David Cheban, Perron-Frobenius Dynamics for Markov Chains. International Symposium ”Actual Problems of Mathematics and Informatis” dedicated to the 90th Bithday of Professor Ion Valut¸a November 27-28, 2020, TUM, Chisinau, Republic of Moldova.

52. 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

51. Cheban D. N., Levitan Almost Periodic Solutions for Linear Differential Equations Abstracts of the International Conference "Mathematics and 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.

50. 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.

2017

49. 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

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

47. 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.

2015

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

45. 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.

2014

44. Cheban D. N., Birkhoff's center of compact dissipative dynamical ystem. 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. View text

2013

43.  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.

2012

42. 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.

41. 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. View text

40. 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. View text

2011

39. 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). View text

38. Cheban D. N., Sell's conjecture for non-autonomous dynamical systems. One-day Workshop on non-autonomous dynamical systems, November 23th, 2011 (Seville, Spain). View text

2010

37. Cheban D. N., Favard’s theory.One-day Workshop on deterministic and stochastic dynamical systems, March 16th, 2010 (Seville, Spain). View text

2006

36. D. Cheban. Markus-Yamabe Conjecture. The 14-th Conference of Applied and Industrial Mathematics (August 17-19, 2006, MOLDOVA).

35. D. Cheban and C. Mammana. Global Attractors and Almost Periodic Solutions of V-Monotone Non-Autonomous Dynamical Systems. International Congress of Mathematicians (August 22-30, 2006, SPAIN, Madrid).

34. 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.

2005

33. D. Cheban and C. Mammana. Almost Periodic Solutions of Non-Autonomous Beverton-Holt Difference Equations. 2005 WSEAS International Conference on Dynamical Systems and Control, Venice, Italy, November 2-4, 2005.

32. D. Cheban and C. Mammana. Continuous Dependence of Attractors on Parameters of Non-Autonomous Dynamical Systems and Infinite Iterated Functions Systems. International Conference on Non-autonomous and Stochastic Dynamical Systems, Sep 27 - Oct 1, 2005 Sevilla (SPAIN).

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

2004

30. D. Cheban and C. Mammana. Global Compact Chaotic Attractors of Discrete Control Systems. International Conference “Differential Equations and Related Topics” dedicated to I.G. Petrovskii (May 16-22, Moscow, RUSSIA).

29. D. Cheban and C. Mammana. Absolute Asymptotic Stability of Discrete Linear Inclusions in Banach Spaces. First Joint Canada-France meeting of the Mathematical Sciences (July 12-15, Toulouse, FRANCE).

28. D. Cheban and C. Mammana. Relation Between Different Types of Stability of Linear Non-Autonomous Dynamical Systems (plenary talk). International Conference: 2004 – Dynamical Systems and Applications (July 5-10, Antalya – Pamukkale (Hierapolis), TURKEY).
 

2003

27. D. Cheban. Almost Periodic Solutions of Monotone Almost Periodic Equations. International Conference on Differential Equations (July 22-26, Hasselt, BELGIUM). Equadiff 2003, p.25.

26. D. Cheban and C. Mammana. Invariant manifolds, Global Attractors and Almost Periodic Solutions of Non-autonomous Difference Equations. International Conference on Differential Equations (July 22-26, Hasselt, BELGIUM). Equadiff 2003, p.25.

25. D. Cheban, Nonautonomous Holomorphic Dynamics (invited speaker). International Workshop (September 29 --  October 3, Friedrichsdorf, GERMANY).

24. D. Cheban, J. Duan and A. Gherco. Heteroclinic Solutions of Multi-dimensional Differential Equations. Workshop on Qualitative Research of the Differential Equations dedicated to the 75th birthday of Academician Constantin Sibirsky (February 14 -- 15, Chisinau, MOLDOVA)

2001

23. D. Cheban. An Analog of Cameron-Johnson Theorem for the 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 G. Petrovskii (May 22-27, Moscow, RUSSIA), pp.86-87.

22. 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), p.25.

2000

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

1999

20. D. Cheban, P. Kloeden and B. Schmalfuss. Pullbac Attractors Under Discretization. Proceedings of 
EQUADIFF99 (1999, Berlin, GERMANY), vol.2, (edited by B. Fiedler, K. Groger and J. Sprekels). World Scientific 2000, pp.1024-1029.

1995

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

1992

18. D. Cheban and D. Fakeeh. Disperse Dissipative Dynamical Systems. Abstracts 8th Intern. Conf. Equa. Diff. - 92.(1992, Samarkand, UZBEKISTAN), p. 115.

17. D. Cheban. Globally Uniform Asymptotic Stability of the Solutions of Nonautonomous Systems. Abstract of speech at the Republican Scientifically-methodical Conference (Odessa, Ukraine), V. 1, p. 23.

1991

16. D. Cheban and D. Fakeeh. Discontinuous Dissipative Dynamical Systems. Collection "Discontinuous Dynamical Systems", abstract of speech at the Scientific School Seminar (17-20 September, Uzhgorod, Ukraine), p.69.

1990

15. D. Cheban. Homoclinical Trajectories of Nonautonomous Systems. Abstract of the speech at the 2nd All-Union Conference "Nonlinear Oscillations of Mechanical Systems", (Gorky, RUSSIA), p.138.

1989

14. D. Cheban. On One J.Hale's Problem. Abstract of speech at the 7th All-Union Conference of the Qualitative Theory of Differential Equations. (Riga, USSR), p.227.

1987

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

1986

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

10. D. Cheban. On Nonautonomous Dissipative Dynamical Systems. Uspekhi matematicheskikh nauk, v. 41, N4 (250), p.169. Abstract of the talk at the International conference “Differential Equations and Applications” (Moscow State University, Moscow, USSR)

1985

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

1983

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

1982

7. D. Cheban and V. Amelkin. Bounded Solutions and Periodic Oscillations of Differential Systems. Differential Equations and Theory of Operators (Chisinau, USSR), "Shtiintsa", p.3-9.

1979

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

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

4. 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 (Chisinau, USSR), p.181-182.

1978

3. 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 Functional Spaces (Minsk, USSR), p.9-10.

1976

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

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 (Samarkand, USSR), p.216.

 

 

Referee's activity

Referee for:

Abstract and Applied Analysis (Int., USA (Hidawi))

Acta Mathematicae Applicatae Sinica (China)

Advances in Difference Equations (Int., USA (Hidawi))

Annali di Matematica Pura ed Applicata (Italy, Florence)

Applicable Analysis (Int. England)

Applied Mathematical Modeling

Applied Mathematics and Computation (Int. USA)

Applied Mathematics Letters (Int. USA)

Asymptotic Analysis

Boundary Value Problems (Int. USA)

Buletinul Academiei de Stiinte a Republicii Moldova. Matematica (Republic of Moldova, Chisinau)

Central European Journal of Mathematics (Int. Germany)

Chaos, Solutions  & Fractals (Elsevier)

Discrete Dynamics in Nature and Society

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)

Electronic Journal of Qualitative Theory of Differential Equations (Intern. Journal, Hungary)

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

Integral Equations and Operator Theory

Journal of Differential Equations (Int. USA)

Journal of Difference Equations and Applications (Int.England)

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)

Mathematische Nachrichten (Int. (WILEY-VCH))

Nonautonomous Dynamical Systems

Nonlinear Analysis: Theory, Methods and Applications (Int. USA, Elsevier)

Nonlinear Analysis:  Real World Applications  (Int. USA, Elsevier)

Nonlinear Analysis: Hybrid Systems (Int. USA, Elsevier)

Result in Mathematics(Int. Switzerland)

Revista Matematica Complutense (Int. Spain)

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

SIAM: Journal of Mathematical Analysis

Mathematica Slovaca

Stochastics and Dynamics (Int. USA)

Journal of Zhejiang University Science C (Computers & Electronics)


Reviewer for:

Mathematical Reviews

Zentrablatt


Guesteditor of:

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

Associate Editor for:

International Journal of Mathematics and Computations

Nonautonomous Dynamical Systems