Публікації:

1. Kapustyan O., Kapustian O., Stanzytskyi O., Korol I. Uniform attractors in sup-norm for semi linear parabolic problem and application to the robust stability theory // Archivum mathematicum, 2023. - Volume 59, No. 2. – pp. 191–200. · Electronic Edition ISSN 1212-5059 200 (Web of Science) DOI 10.5817/AM2023-2-191

2. Feketa P., Kapustyan O., Kapustian O., Korol I. Global attractors of mild solutions semiflow for semilinear parabolic equation without uniqueness // Applied Mathematics Letters, Volume135, January 2023, 108435 https://doi.org/10.1016/j.aml.2022.108435

3. Kapustyan O.V., Kapustian O., Ryzhov A.Yu., Sobchuk V.V. Approximate Optimal Control for a Parabolic System with Perturbations in the Coefficients on the Half-Axis // Axioms 2022, 11(4), 175;

https://doi.org/10.3390/axioms11040175,

https://www.mdpi.com/2075-1680/11/4/175/htm

4. Petlenko, Y., Kapustian O., Ryzhov, A., Kharlamova, G. Financial sustainability of a Ukrainian university due to the COVID-19 pandemic a calculative approach // Investment Management and Financial Innovations, 2021, 18(4), pp. 340–354

5. Dashkovskiy, S., Kapustyan, O.V., Kapustian O.A., Gorban, N.V. Attractors for Multivalued Impulsive Systems: Existence and Applications to Reaction-Diffusion System // Mathematical Problems in Engineering, 2021, 7385450 (SCOPUS, Q3)

6. Gorban N., Kapustyan O., Kapustian O. Approximate Optimal Controller for Weakly Nonlinear Evolutionary Equation of Parabolic Type // Cybernetics and Systems Analysis, volume 57, PP. 883–888 (2021) https://doi.org/10.1007/s10559-021-00414-1

7. Sobchuk, V., Kapustyan, O., Pichkur, V., Kapustian, O. Design of stable periodic regimes for one class of hybrid planar systems // CEUR Workshop Proceedings, 2021, 3018, pp. 111–120 (“Intellectual Solutions” (Uzhhorod)

https://ceur-ws.org/Vol-3018/Paper_10.pdf

8. Kapustian O. Approximate Feedback Control for Hyperbolic Boundary-Value Problem with Rapidly Oscillating Coefficients in the Case of Non-convex Objective Functional / O. Kapustian // Understanding Complex Systems. – 2021. – P. 407–415   

9. Kapustian O.A. Approximate Minimax Estimation of Functionals of Solutions to the Wave Equation under Nonlinear Observations / Kapustian, O.A., Nakonechnyi, O.G. // Cybernetics and Systems Analysis. – 2020. – 56 (5). – P. 793–801

10. Kapustian O.A. Quasi-optimal control with a general quadratic criterion in a special norm for systems described by parabolic-hyperbolic equations with non-local boundary conditions / O. A. Kapustian, V. O. Kapustyan, I. O. Pyshnograiev // Discrete and Continuous Dynamical Systems – Series B. – 2019. – Vol. 24, № 3. – PP. 1243-1258. doi: 10.3934/dcdsb.2019014

11. Kapustian O.A. Approximate homogenized synthesis for distributed optimal control problem with superposition type cost functional / O. A. Kapustian, V. V. Sobchuk // Statistics, Optimization and Information Computing. – 2018. – Vol. 6, № 4.  – P. 233 – 239.

12. Kapustian О.А. Approximate optimal regulator for distributed control problem with superposition functional and rapidly oscillating coefficients / O. A. Kapustian // Modern Mathematics and Mechanics (Part of the Understanding Complex Systems (UCS) book series). – 2019. – P. 481-491.

13. Kapustian O. Minimax Estimation of Solutions of the First Order Linear Hyperbolic Systems with Uncertain Data / O. Kapustian, O. Nakonechnyi, Yu. Podlipenko // Statistics, Optimization and Information Computing. – 2019. – Vol.7 (4). – PP. 695 – 708.

14. Nakonechnyi, A.G., Kapustian, E.A., Chikrii, A.A. Control of Impulse Systems in Conflict Situation // Journal of Automation and Information Sciences. – 2019. – Vol. 51 (9). –  PP. 1-11

DOI: 10.1615/JAutomatInfScien.v51.i9.10

https://www.dl.begellhouse.com/journals/2b6239406278e43e,12772adb1f2d97d5,4093dafe0257bcb9.html

15. Nakonechnyi O.G., Kapustian O., Pashko, A., Zinko, T., Shevchuk, I. Statistical Simulation of the Information Warfare // 2019 IEEE International Conference on Advanced Trends in Information Theory, ATIT 2019 - Proceedings, 2019

16. Nakonechnyi O.G., Kapustian O. Approximate Estimation of Functionals of the Solutions of Parabolic Equation under Nonlinearity in Output // 2019 IEEE International Conference on Advanced Trends in Information Theory, ATIT 2019 - Proceedings, 2019, pp. 16–21, 9030500

17. Kapustian O. Approximate Feedback Control for Hyperbolic Boundary-Value Problem with Rapidly Oscillating Coefficients in the Case of Non-convex Objective Functional / O. Kapustian // Understanding Complex Systems. – 2021. – P. 407–415

18. Kapustian O.A. Approximate Minimax Estimation of Functionals of Solutions to the Wave Equation under Nonlinear Observations / Kapustian, O.A., Nakonechnyi, O.G. // Cybernetics and Systems Analysis. – 2020. – 56 (5). – P. 793–801

19. Kapustian O.A. Quasi-optimal control with a general quadratic criterion in a special norm for systems described by parabolic-hyperbolic equations with non-local boundary conditions / O. A. Kapustian, V. O. Kapustyan, I. O. Pyshnograiev // Discrete and Continuous Dynamical Systems – Series B. – 2019. – Vol. 24, № 3. – PP. 1243-1258. doi: 10.3934/dcdsb.2019014

20. Kapustian O.A. Approximate homogenized synthesis for distributed optimal control problem with superposition type cost functional / O. A. Kapustian, V. V. Sobchuk // Statistics, Optimization and Information Computing. – 2018. – Vol. 6, № 4.  – P. 233 – 239.

21. Kapustian О.А. Approximate optimal regulator for distributed control problem with superposition functional and rapidly oscillating coefficients / O. A. Kapustian // Modern Mathematics and Mechanics (Part of the Understanding Complex Systems (UCS) book series). – 2019. – P. 481-491.

22. Kapustian O. Minimax Estimation of Solutions of the First Order Linear Hyperbolic Systems with Uncertain Data / O. Kapustian, O. Nakonechnyi, Yu. Podlipenko // Statistics, Optimization and Information Computing. – 2019. – Vol.7 (4). – P. 695 – 708.

23. Капустян О. А. Наближене мінімаксне оцінювання функціоналів від розв'язку параболічної задачі зі швидко коливними коефіцієнтами при нелінійних спостереженнях / О. А. Капустян, О. Г. Наконечний. // Системні дослідження та інформаційні технології. – 2019.  – № 2. – С. 94–104.

24. Капустян О.А., Капустян О.В., Наконечний О.Г. Оптимальне керування та гарантоване оцінювання у розподілених системах з малим параметром: монографія. К.: ВПЦ «Київський університет», 2021. – 247 с. ISBN 978-966-933-131-1