Application of the direct Lyapunov’s method to the investigation of integral sets
The concepts are defined of the stability, attraction, and asymptotic stability of the integral sets of systems of ordinary differential equations. With the use of the second method of Lyapunov, a number of theorems are proved concerning the stability of integral sets.
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| Date: | 1992 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8230 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512988007497728 |
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| author | Ignatyev, A. O. Игнатьев, А. О. |
| author_facet | Ignatyev, A. O. Игнатьев, А. О. |
| author_sort | Ignatyev, A. O. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-03-27T09:55:23Z |
| description | The concepts are defined of the stability, attraction, and asymptotic stability of the integral sets of systems of ordinary differential equations. With the use of the second method of Lyapunov, a number of theorems are proved concerning the stability of integral sets. |
| first_indexed | 2026-03-24T03:37:31Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8230 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:37:31Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/60/5163742fe70da6d5bcbeea563f7b8760.pdf |
| spelling | umjimathkievua-article-82302024-03-27T09:55:23Z Application of the direct Lyapunov’s method to the investigation of integral sets Применение прямого метода Ляпунова к исследованию интегральных множеств Ignatyev, A. O. Игнатьев, А. О. The concepts are defined of the stability, attraction, and asymptotic stability of the integral sets of systems of ordinary differential equations. With the use of the second method of Lyapunov, a number of theorems are proved concerning the stability of integral sets. Определены понятия устойчивости, притяжения и асимптотической устойчивости интегральных множеств систем обыкновенных дифференциальных уравнений. С использованием второго метода Ляпунова доказан ряд теорем об устойчивости интегральных множеств. Визначені поняття стійкості, притягання і асимптотичної стійкості інтегральних множин систем звичайних диференціальних рівнянь. З використанням другого методу Ляпунова доведені теореми про стійкість інтегральних множин. Institute of Mathematics, NAS of Ukraine 1992-10-01 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8230 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 10 (1992); 1342-1348 Український математичний журнал; Том 44 № 10 (1992); 1342-1348 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8230/9810 Copyright (c) 1992 A. O. Ignatyev |
| spellingShingle | Ignatyev, A. O. Игнатьев, А. О. Application of the direct Lyapunov’s method to the investigation of integral sets |
| title | Application of the direct Lyapunov’s method to the investigation of integral sets |
| title_alt | Применение прямого метода Ляпунова к исследованию интегральных множеств |
| title_full | Application of the direct Lyapunov’s method to the investigation of integral sets |
| title_fullStr | Application of the direct Lyapunov’s method to the investigation of integral sets |
| title_full_unstemmed | Application of the direct Lyapunov’s method to the investigation of integral sets |
| title_short | Application of the direct Lyapunov’s method to the investigation of integral sets |
| title_sort | application of the direct lyapunov’s method to the investigation of integral sets |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8230 |
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