On the stability of invariant sets of a system of autonomous differential equations under constantly acting perturbations
We consider a system of ordinary autonomous differential equations that has an invariant set. We obtain sufficient conditions for the stability of this system under constantly acting perturbations.
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| Date: | 1999 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1999
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4725 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510886272172032 |
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| author | Ignat'ev, A. O. Konosevich, В. I. Игнатьев, А. О. Коносевич, Б. Я. Игнатьев, А. О. Коносевич, Б. Я. |
| author_facet | Ignat'ev, A. O. Konosevich, В. I. Игнатьев, А. О. Коносевич, Б. Я. Игнатьев, А. О. Коносевич, Б. Я. |
| author_sort | Ignat'ev, A. O. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:12:04Z |
| description | We consider a system of ordinary autonomous differential equations that has an invariant set. We obtain sufficient conditions for the stability of this system under constantly acting perturbations. |
| first_indexed | 2026-03-24T03:04:07Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4725 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:04:07Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/2e/6d542fa8c71b837ac6acb2e5f0b8922e.pdf |
| spelling | umjimathkievua-article-47252020-03-18T21:12:04Z On the stability of invariant sets of a system of autonomous differential equations under constantly acting perturbations Об устойчивости инвариантных множеств системы автономных дифференциальных уравнений при постоянно действующих возмущениях Ignat'ev, A. O. Konosevich, В. I. Игнатьев, А. О. Коносевич, Б. Я. Игнатьев, А. О. Коносевич, Б. Я. We consider a system of ordinary autonomous differential equations that has an invariant set. We obtain sufficient conditions for the stability of this system under constantly acting perturbations. Розглядається система звичайних автономних диференціальних рівнянь, яка має інваріантну множину. Одержано достатні умови її стійкості при постійно діючих збуреннях. Institute of Mathematics, NAS of Ukraine 1999-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4725 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 9 (1999); 1287–1291 Український математичний журнал; Том 51 № 9 (1999); 1287–1291 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4725/6151 https://umj.imath.kiev.ua/index.php/umj/article/view/4725/6152 Copyright (c) 1999 Ignat'ev A. O.; Konosevich В. I. |
| spellingShingle | Ignat'ev, A. O. Konosevich, В. I. Игнатьев, А. О. Коносевич, Б. Я. Игнатьев, А. О. Коносевич, Б. Я. On the stability of invariant sets of a system of autonomous differential equations under constantly acting perturbations |
| title | On the stability of invariant sets of a system of autonomous differential equations under constantly acting perturbations |
| title_alt | Об устойчивости инвариантных множеств системы
автономных дифференциальных уравнений при постоянно действующих возмущениях |
| title_full | On the stability of invariant sets of a system of autonomous differential equations under constantly acting perturbations |
| title_fullStr | On the stability of invariant sets of a system of autonomous differential equations under constantly acting perturbations |
| title_full_unstemmed | On the stability of invariant sets of a system of autonomous differential equations under constantly acting perturbations |
| title_short | On the stability of invariant sets of a system of autonomous differential equations under constantly acting perturbations |
| title_sort | on the stability of invariant sets of a system of autonomous differential equations under constantly acting perturbations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4725 |
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