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Oleksii Kapustyan

Aleksei_V_KapystyanDate of Birth 30.10.1975

Doctor of Sciences in Physics and Mathematics (Dr. Hab.)

Research Laboratory for Nonlinear Analysis of Differential-Operator Systems (NADOS Lab)

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Education

1992-1997 – student of the Department of Mechanics and Mathematics, National Taras Shevchenko University of Kyiv, Ukraine (Master's degree in Mathematics with honors, Chair of mathematical analysis);

1997-2000 – PhD student of the Chair of Integral and Differential Equations Department, Department of Mechanics and Mathematics, National Taras Shevchenko University of Kyiv;

2000 – defended PhD thesis “Existence and approximations of global attractors for nonlinear evolution equations” on the degree of Candidate of Sciences in Physics and Mathematics (supervisor –member of the National Academy of Sciences of Ukraine, Dr. Hab., Prof. M.O. Perestyuk);

2008 – habilitation in Physics and Mathematics (“Global attractors for nonautonomous multivalued dynamical systems” on the degree of Doctor of Science in Physics and Mathematics, scientific advisor - – correspondent member of the National Academy of Sciences of Ukraine, Dr. Hab., Prof. V.S. Mel’nik)

Science activity

Research interests

Global attractors theory for infinite-dimensional dynamical systems, optimal control theory, nonlinear and multivalued analysis. In particular, the global attractors theory for autonomous and nonautonomous evolution equations and inclusions without uniqueness of Cauchy problem solution, the global attractors theory for randomly and impulse perturbed evolution equations without uniqueness, some problems of approximate synthesis for controlled systems.

Publications

Monographs:

  • Каpusyan O.V., Mel’nik V.S.,Valero J., Yasinsky V.V. Global attractors of multi-valued dynamical systems and evolution equations without uniqueness - K.:Naukova dumka, 2008. - 215p. 

Research articles:

  • Kapustyan O.V., Valero J., Iovane G. Asymptotic behaviour of reaction-diffusion equations with non-damped impulsive effects // Nonlinear Analysis.- 2008. - vol. 68. - P. 2516-2530.
  • Kapustyan O.V., Valero J. On the Kneser property for the complex Ginzburg-Landau equation and the Lotka-Volterra system with diffusion // Journal of Mathematical Analysis and Applications. -2009. - №357. - P. 254-272
  • Kapustyan O.V., Valero J., Yasinsky V.V. Mathematical model for process of formation and preservation of corporate knowledge // System Research and Information Technologies. - 2009. - №2. -P. 67-78
  • O. V. Kapustyan, O. A. Kapustyan and A. V. Sukretna Approximate bounded synthesis for one weakly nonlinear boundary-value problem // Nonlinear oscillations. – 2009. – Vol.12, N 3. – P. 297-304.
  • Kapustyan O.V., Valero J. Comparison between trajectory and global attractors for evolution systems without uniqueness of slutions // International Journal of Bifurcation and Chaos. – 2010. - vol.20, №9. - P.1-12
  • Kapustyan O.V. On positive solutions of one class of evolution inclusions of subdifferential type // Ukrainian Mathematical Journal. – 2011. – vol. 63, № 4. – P. 472-480.
  • Kapustyan O.V., Kasyanov P.O., Valero J. Pullback attractors for a class of extremal solutions of the 3D Navier-Stokes system // Journal of Mathematical Analysis and Applications. 2011. №373. P. 535-547.

Hobby

Football, gardening

Partner Institutions

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National Technical
University of Ukraine 
"Kyiv Polytechnic Institute"
http://kpi.ua

wdc-logo World Data Center
for Geoinformatics
and Sustainable Development
http://wdc.org.ua

Contact us

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37 Peremohy ave.
03056 Kyiv, Ukraine

Telephone: 38 044 4068014
Fax: 38 044 4068153

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