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Personals

Kapustyan Oleksiy Volodymyrovych

Sc.D. (in Mathematics), professor

CV
Publications

Contacts

mechanics and mathematics faculty, room 503,
phone no.: 259-01-30,
e-mail: alexkap@univ.kiev.ua

General information

Graduated from Kiev State University in 1997 (Faculty of Mechanics and Mathematics, Diploma with Honor); Ph.D. in Mathematics (2000, Kyiv National Taras Shevchenko University, Speciality: Differential equations); Doctor of Sciences in Mathematics (2008, Institute of Mathematics NAS of Ukraine, Speciality: Differential equations). 1999-2003: assistant of professor, Faculty of Mechanics and Mathematics, Department of integral and differential equations; 2003-2008: associated professor, Faculty of Mechanics and Mathematics, Department of integral and differential equations, since 2008: professor, Faculty of Mechanics and Mathematics, Department of integral and differential equations.

Teaching activity

Main courses: «Differential equations», «The calculus of variations and optimization methods», «Economics and Mathematical Models», «Qualitative and Analytical Methods of differential equations», «Differential equations with multi-valued right-hand part».

Scientific work

The field of scientific interests: theory of nonlinear evolution equations and inclusions, theory of global attractors of infinite-dimensional dynamical systems, set-valued analysis, theory of optimal control.

Main publications

Kapustyan O.V., Melnik V.S., Valero J., Yasinsky V.V. Global attractors of multi-valued dynamical systems and evolution equations without uniqueness. – Kyiv: Naukova Dumka, 2008.

Zgurovsky M.Z., Kasyanov P.O., Kapustyan O.V., Valero J., Zadoianchuk N.V. Long-time behavior of evolution inclusions solutions in Earth data analysis. – N.Y.: Springer, 2012.

Kapustan O.V. Attractor of semiflow, generated by phase-field system without uniqueess // Ukrainian Math. Journal, 1999, vol.51, ¹7.

Kapustyan O.V., Valero J. Attractors of multivalued semiflows, generated by differential inclusions and their approximations // Abstract and Applied Analysis, 2000, ¹1.

Kapustyan O.V. Global attractors of non-autonomous reaction-diffusion equation// Differential Equations (Russian), 2002, vol.38, ¹10.

Kapustyan O.V., Perestyuk M.O. Global attractors of evolution inclusion with impulsive perturbations at fixed moments of time // Ukrainian Math. Journal, 2003, vol.55, ¹ 8.

Kapustyan O.V., Melnik V.S., Valero J. Attractors of multivalued dynamical processes, generated by phase-field equations // International Journal of Bifurcation and Chaos, 2003, ¹ 6.

Kapustyan O.V. Random attractor for stochastically perturbed evolution inclusion // Differenttial Equations (Russian), 2004, vol.40, ¹10.

Kapustyan O.V., Valero J. On the connectedness and asymptotic behaviour of solutions of reaction-diffusion system // Journal of Mathematical Analysis and Applications, 2006, ¹323.

Kapustyan O.V., Valero J. Weak and strong attractors for 3D Navier-Stokes system // Journal of Differential Equations, 2007, vol. 240, ¹ 2.

Kapustyan O.V., Iovane G., Valero J.Asymptotic behaviour of reaction-diffusion equations with non-damped impulsive effects // Nonlinear Analysis, 2008, vol. 68.

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, ¹357.

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, ¹9.

Kapustyan O.V., Kasyanov P.O., Valero J. Pullback attractors for some class of extremal solutions of 3D Navier-Stokes system // Journal of Mathematical Analysis and Applications, 2011, ¹373.

Kapustyan O.V., Kapustian O.A., Sukretna A.V. Averaged stabilization for nonlinear parabolic problem // // Ukrainian Math. Journal, 2011, vol.63, ¹5.

Kapustyan O.V., Perestyuk M.O. Long-time behavior of evolution inclusion with non-damped impulsive effects // Memoirs on Differential Equations and Mathematical Physics, 2012, vol.56.

Galary

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