Differential equations with random perturbations, stochastic equations in infinitely dimensional spaces, systems of functional-differential levels, qualitative theory of difference levels, equations on time scales, optimal control.

Previous and Current Research

Calculus of variational and optimization methods, bachelor-4, lectures, practical classes (Faculty of Mechanics and Mathematics). Actuarial and financial mathematics, master-1, lectures, practical classes (Faculty of Mechanics and Mathematics). Mathematical modeling in natural sciences Master-1, lectures, practical classes (Faculty of Mechanics and Mathematics). Differential equations with random perturbations, master-2, lectures (Faculty of Mechanics and Mathematics). Higher Mathematics, Bachelor-2 (Faculty of Geography)

Future Projects and Goals

Evolutionary behavior of stochastic dynamic systems in infinitely dimensional spaces

Collaboration

• Igor Sikorsky Kyiv Polytechnic Institute

• Institute of Mathematics NAS of Ukraine

Selected Publications

Monographs:

1. Samoilenko A.M,, О.М. Stanzhytsky. Qualitative and asymptotic analysis of differential equations with random perturbations. - Singapore: World Scientific, 2011. - 322 p.

2. Samoilenko A.M, О.М. Stanzhytsky. Qualitative and asymptotic analysis of differential levels with random perturbations. - К .: Наукова думка, 2009. - 335 с.

Scientific articles:

1. O. Stanzhytskyi, V. Mogylova, O. Lavrova. Optimal Control for Systems of Differential Equations on the Infinite Interval of Time Scale // Understanding Complex Systems, Approaches and Methods in Fundamental Mathematics and Mechanics.– 2021.– P. 395-405.

2. Matthias Hieber, Oleksandr Misiats and Oleksandr Stanzhytskyi. On the bidomain equations driven by stochastic forces// Discrete and Continuous Dynamical Systems – Series A (DCDS- A).– 2020.– V. 40, N. 11.– P. 6159–6177.

3. A. N. Stanzhitskii , S. T. Mynbayeva, N. A. Marchuk. Averaging in boundary-value problems for systems of differential and integrodifferential equations // Ukrains’kyi Matematychnyi Zhurnal.– 2020.– V. 72, No. 2.– P. 245-266.

4. Koval’chuk, T.V., Mogylova, V.V., Stanzhytskyi, O.M., Shovkoplyas, T.V. Application of the averaging method to the problems of optimal control of the impulse systems//Carpathian Mathematical Publications, 2020, 12(2), pp. 504–521

5. Oleksandr Stanzhytskyi, Olha Karpenko, Tetiana Dobrodzii. The relation between the existence of bounded global solutions of the differential equations and equations on time scales // Turkish Journal of Mathematics.– 2020.– V.44.– P. 2099 –2112.

6. O.Stanzhytskyi, O. Kichmarenko Optimal control problems for some classes of functional- Name (titles of publications, presentations, projects, conferences, seminars, names of awards and prizes, membership in academies, professional and scientific associations, etc.) differential equations on the semi-axis// Miskolc Mathematical Notes.– 2019.– Vol. 20, No. 2.– P. 1021–1037.

7. O. Misiats, O.Stanzhytskyi, N. Yip. Invariant measures for reaction-diffusion equations with weakly dissipative nonlinearities // Stochastics: an International Journal of Probability.– Published online: 20 Nov 2019. https://doi.org/10.1080/17442508.2019.1691212

8. O.M. Stanzhytskyi, K.K. Кеnzhebaev, A.O. Tsukanova. Existence and uniqueness results, the Markovian property of solution for a neutral delay stochastic reaction-diffusion equation in entire space // Dynamic Systems and Applications. –2019. – V. 28, No. 1. – P. 19-46.

Contacts

ostanzh@gmail.com ; stom@mail.univ.kiev.ua

Postal address: Taras Shevchenko National University of Kyiv, Faculty of Mechanics and Mathematics, Ukraine, Kyiv-01601, Glushkov Av. 4e