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FACULTATEA DE MATEMATICĂ ȘI INFORMATICĂ

David Ceban


Prenume
David
Nume
Ceban
Grad ştiinţific
doctor habilitat
Titlu didactic/funcţie exercitată
profesor universitar
Departament
Departamentul de Matematică
Studii

1969: Şcoala medie satul Cioc-Maidan, Comrat, Atestat de studii medii,

1969-1974: Universitatea de Stat din Moldova, Facultatea de Matematică şi Cibernetică, Diplomă (de merit) de studii superioare,

1974-1977: Universitatea de Stat din Moldova, studii de doctorat, Diplomă de Doctor în ştiinţe fizico-matematice,

1986-1988: Universitatea de Stat din Moldova, post-doctorat.

 

Experiența profesională

2016 – până în present: Universitatea de Stat din Moldova, Profesor universitar la Departamentul de Matematică,

2012 – 2016: Universitatea de Stat din Moldova, Profesor universitar la Departamentul Matematici Fundamentale,

2000 – 2012: Universitatea de Stat din Moldova, Profesor universitar la catedra Analiză Matematică şi Ecuaţii Diferenţiale,

1992 – 2000: Universitatea de Stat din Moldova, Profesor universitar la catedra Ecuaţii Diferenţiale,

1982 – 1992: Universitatea de Stat din Moldova, Conferenţiar universiar la catedra Ecuaţii Diferenţiale,

1977 – 1982: Universitatea de Stat din Moldova, lector la catedra Ecuaţii Diferenţiale,

1980 – 1983: Universitatea Huari Bumedien (Algeria), lector superior universitar.

Profesor invitat:

  1. Universitatea din Frankfurt, Germania (septembrie – octombrie 1998; septembrie 2000);
  2. Universitatea din Merseburg, Germania (iunie 1997; noiembrie 2000);
  3. Universitatea din Bremen, Germania (octombrie 2000);
  4. Universitatea din Padernborn, Germania (octombrie – noiembrie 2006);
  5. Institutul de Tehnologie din Illinois, S.U.A. (martie – iunie 2002);
  6. Universitatea din Macerata, Italia (septembrie 2002 – februarie 2003);
  7. Universitatea din Ancona, Italia (mai 2003 – octombrie 2006);
  8. Universitatea din Sevilla, Spania (decembrie 2007 – ianuarie 2008, februarie 2010 – septembrie 2010);
  9. Universitatea din Limoge, Franţa (noiembrie 2008);
  10. Universitatea din  Sevilla (Spania), Februarie 2010-- Octombrie 2010;
  11. Universitatea din Granada (Spania), Decembrie 2013--Ianuarie 2014;
  12. Universitatea din Macerata (Italia), Septembrie--Noembrie 2015;
  13. Universitatea Tehnologica din Dalian (China), Martie -- Mai 2016 si Martie -- Mai 2017.

 

Activitatea didactică

Cursuri predate:

  • Ecuaţii diferenţiale (curs normativ),
  • Ecuaţii diferenţiale cu derivate parţiale (curs normativ),
  • Analiză matematică (curs normativ),
  • Matematică superioară (pentru specialităţi nematematice, curs normativ),
  • Sisteme dinamice autonome (curs special),
  • Sisteme dinamice neautonome (curs special),
  • Ecuaţii diferenţiale liniare în spaţii Banach (curs special),
  • Sisteme dinamice disipative (curs special),
  • Atractori globali ai sistemelor dinamice (curs special),
  • Metode asimptotice în teoria ecuaţiilor diferenţiale (curs special),
  • Funcţii aproape periodice şi ecuaţii diferenţiale (curs special),
  • Ecuaţii diferenţiale şi analiză nonstandard (curs special),
  • Distribuţii şi aplicaţiile lor în ecuaţii diferenţiale (curs special),
  • Teoria stabilităţii sistemelor dinamice (curs special).

Stagii de perfecţionare:

1984 (Septembrie – Decembrie): Universitatea de Stat din Moscova (USSR), Catedra Ecuaţii Diferenţiale, Facultatea de Matematică şi Mecanică.

 

Activitatea științifică

Publicații în reviste menționate:

 

 

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.

95. Cheban 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.

 

 

Granturi:

 

2015

Visiting Scholar grant  (University of Macerata, Italy, September – November 2015).

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

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:

  • 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.

 

Colaborare stiintifică internatională:

Colaborez de mulţi ani cu reprezentanţi ai şcolilor ştiinţifice din Rusia, Ucraina, Belarus, Germania, S.U.A. De asemenea, am stabilit legături strînse de colaborare cu savanţi din Spania, Italia şi Franţa, care se ocupă cu sisteme dinamice neautonome şi aplicaţiile lor. Legături mai eficiente şi publicaţii comune am cu savanţi din S.U.A. (Prof. J. Duan – Institutul Tehnologic din Illinois), Germania (Prof. P. E. Kloeden – Universitatea din Frankfurt, Prof. B. Schmalfuss – Universitatea din Padernborn), Italia (Prof. C. Mamman şi Dr. E. Michetti – Universitatea din Macerata), Spania (Prof. T. Caraballo – Universitatea din Sevilla), Franţa (Prof. Boularas Driss – Universitatea din Limoges)  şi China (Prof. Zhenxin Liu -- Universitatea Technologica din Dalian) .

 

Domenii de interes ştiinţific:

  • Sisteme dinamice neautonome şi aplicaţiile lor;
  • Atractori globali ai sistemelor dinamice;
  • Sisteme dinamice dispersive;
  • Atractori globali şi teoria stabilităţii sistemelor de control;
  • Teoria calitativă a ecuaţiilor diferenţiale;
  • Incluziuni diferenţiale şi în diferenţe finite;
  • Ecuaţii diferenţiale şi funcţional-diferenţiale;
  • Ecuaţii diferenţiale cu derivate parţiale.

 

Publicaţii ştiinţifice:

175 publicaţii,

inclusive 9 monografii:

1. 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. 

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

3.  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

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

5. 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

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

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

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

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

şi 3 manuale

  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.

 

Publicaţii recente:

 

2017

24. 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.

23. 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

 

22. 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

 

21. 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.

20. 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.

19. 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.

18. 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.

17. 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.

16. 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

 

15. 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.

14. 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.

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

12. 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

 

11. 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.

10. 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.

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

8. 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.

7. 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.

6. 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 .

5. 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.

 

2012

4 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, DOI: 10.1080/10236198.2012.697161 (In press).

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

2. 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.

1. 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.

 

Recenzent la revistele:

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)

 

Recenzent la revista:

Mathematical Reviews;

-- Zentrablat.

Activitate editorială:

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

Editor asociat:

-- International Journal of Mathematics and Computations;

-- Nonautonomous Dynamical Systems.