Zobrazeno 1 - 10
of 75
pro vyhledávání: '"KAPUSTYAN, OLEKSIY"'
In this paper we consider stochastic thin-film equation with nonlinear drift terms, colored Gaussian Stratonovych noise, as well as nonlinear colored Wiener noise. By means of Trotter-Kato-type decomposition into deterministic and stochastic parts, w
Externí odkaz:
http://arxiv.org/abs/2307.12665
Publikováno v:
In Nonlinear Analysis January 2025 250
In this paper we study the conditions for the existence of strong solutions (both local and global) for stochastic bidomain equations. To this end, we use apriori energy estimates and Serrin-type theorems. We further address the asymptotic behavior o
Externí odkaz:
http://arxiv.org/abs/2111.06485
We establish the local input-to-state stability of a large class of disturbed nonlinear reaction-diffusion equations w.r.t. the global attractor of the respective undisturbed system.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/1909.07022
We establish asymptotic gain along with input-to-state practical stability results for disturbed semilinear systems w.r.t. the global attractor of the respective undisturbed system. We apply our results to a large class of nonlinear reaction-diffusio
Externí odkaz:
http://arxiv.org/abs/1909.06302
Publikováno v:
In IFAC PapersOnLine 2020 53(2):3186-3191
Publikováno v:
In IFAC PapersOnLine 2020 53(2):3180-3185
Akademický článek
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Autor:
KAPUSTYAN, OLEKSIY1 kapustyanav@gmail.com, KAPUSTIAN, OLENA2,3 olenakapustian@knu.ua, STANZYTSKYI, OLEKSANDR4 ostanzh@gmail.com, KOROL, IHOR5,6 korol.ihor@gmail.com
Publikováno v:
Archivum Mathematicum. 2023, Vol. 59 Issue 2, p191-200. 10p.
In this paper we study the structure of the global attractor for a reaction- di{\S}usion equation in which uniqueness of the Cauchy problem is not guarantied. We prove that the global attractor can be characterized using either the unstable manifold
Externí odkaz:
http://arxiv.org/abs/1209.2010