Criteria for the Asymptotic Stability of Solutions of Dynamical Systems
We present a new proof for criteria for the asymptotic stability of systems of difference and differential equations based on the properties of monotone operators in a semiordered space. We also establish necessary and sufficient conditions for the asymptotic stability of stochastic systems of diffe...
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| Date: | 2000 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
2000
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4573 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510719656591360 |
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| author | Valeyev, K. G. Dzhalladova, I. A. Валеев, К. Г. Джалладова, И. А. Валеев, К. Г. Джалладова, И. А. |
| author_facet | Valeyev, K. G. Dzhalladova, I. A. Валеев, К. Г. Джалладова, И. А. Валеев, К. Г. Джалладова, И. А. |
| author_sort | Valeyev, K. G. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:31:34Z |
| description | We present a new proof for criteria for the asymptotic stability of systems of difference and differential equations based on the properties of monotone operators in a semiordered space. We also establish necessary and sufficient conditions for the asymptotic stability of stochastic systems of differential and difference equations in the mean square. |
| first_indexed | 2026-03-24T03:01:28Z |
| format | Article |
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| id | umjimathkievua-article-4573 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:01:28Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a1/1dd0f8ccb91b43071f3b42d14a482da1.pdf |
| spelling | umjimathkievua-article-45732020-03-18T20:31:34Z Criteria for the Asymptotic Stability of Solutions of Dynamical Systems Критерии асимптотической устойчивости решений динамических систем Valeyev, K. G. Dzhalladova, I. A. Валеев, К. Г. Джалладова, И. А. Валеев, К. Г. Джалладова, И. А. We present a new proof for criteria for the asymptotic stability of systems of difference and differential equations based on the properties of monotone operators in a semiordered space. We also establish necessary and sufficient conditions for the asymptotic stability of stochastic systems of differential and difference equations in the mean square. Наводиться нове доведення критеріїв асимптотичної стійкості систем різницевих і диференціальних рівнянь з використанням властивостей монотонних операторів у напівупорядковаиому просторі. Отримано також необхідні та достатні умови асимптотичної стійкості в середньому квадратичному стохастичних систем диференціальних і різницевих рівнянь. Institute of Mathematics, NAS of Ukraine 2000-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4573 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 12 (2000); 1702-1707 Український математичний журнал; Том 52 № 12 (2000); 1702-1707 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4573/5850 https://umj.imath.kiev.ua/index.php/umj/article/view/4573/5851 Copyright (c) 2000 Valeyev K. G.; Dzhalladova I. A. |
| spellingShingle | Valeyev, K. G. Dzhalladova, I. A. Валеев, К. Г. Джалладова, И. А. Валеев, К. Г. Джалладова, И. А. Criteria for the Asymptotic Stability of Solutions of Dynamical Systems |
| title | Criteria for the Asymptotic Stability of Solutions of Dynamical Systems |
| title_alt | Критерии асимптотической устойчивости решений динамических систем |
| title_full | Criteria for the Asymptotic Stability of Solutions of Dynamical Systems |
| title_fullStr | Criteria for the Asymptotic Stability of Solutions of Dynamical Systems |
| title_full_unstemmed | Criteria for the Asymptotic Stability of Solutions of Dynamical Systems |
| title_short | Criteria for the Asymptotic Stability of Solutions of Dynamical Systems |
| title_sort | criteria for the asymptotic stability of solutions of dynamical systems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4573 |
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