On the functional polystability of certain essentially nonlinear nonautonomous differential systems
For essentially nonlinear differential systems with the limit matrix of coefficients of the first-approximation system, we establish sufficient conditions for functional polystability, which generalizes the notion of exponential polystability.
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| Date: | 2000 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2000
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4408 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510538482581504 |
|---|---|
| author | Vitrychenko, I. E. Витриченко, И. Е. Витриченко, И. Е. |
| author_facet | Vitrychenko, I. E. Витриченко, И. Е. Витриченко, И. Е. |
| author_sort | Vitrychenko, I. E. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:28:32Z |
| description | For essentially nonlinear differential systems with the limit matrix of coefficients of the first-approximation system, we establish sufficient conditions for functional polystability, which generalizes the notion of exponential polystability. |
| first_indexed | 2026-03-24T02:58:35Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4408 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:58:35Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/63/e7988dc84e0141a318441af834508f63.pdf |
| spelling | umjimathkievua-article-44082020-03-18T20:28:32Z On the functional polystability of certain essentially nonlinear nonautonomous differential systems О функциональной полиустойчивости некоторых существенно нелинейных неавтономных дифференциальных систем Vitrychenko, I. E. Витриченко, И. Е. Витриченко, И. Е. For essentially nonlinear differential systems with the limit matrix of coefficients of the first-approximation system, we establish sufficient conditions for functional polystability, which generalizes the notion of exponential polystability. Одержано достатні умови функціональної полі стійкості, що узагальнює поняття експоненціальної полістійкості, для суттєво нелінійних диференціальних систем з граничною матрицею коефіцієнтів системи першого наближення. Institute of Mathematics, NAS of Ukraine 2000-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4408 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 2 (2000); 197-207 Український математичний журнал; Том 52 № 2 (2000); 197-207 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4408/5520 https://umj.imath.kiev.ua/index.php/umj/article/view/4408/5521 Copyright (c) 2000 Vitrychenko I. E. |
| spellingShingle | Vitrychenko, I. E. Витриченко, И. Е. Витриченко, И. Е. On the functional polystability of certain essentially nonlinear nonautonomous differential systems |
| title | On the functional polystability of certain essentially nonlinear nonautonomous differential systems |
| title_alt | О функциональной полиустойчивости некоторых существенно нелинейных неавтономных дифференциальных систем |
| title_full | On the functional polystability of certain essentially nonlinear nonautonomous differential systems |
| title_fullStr | On the functional polystability of certain essentially nonlinear nonautonomous differential systems |
| title_full_unstemmed | On the functional polystability of certain essentially nonlinear nonautonomous differential systems |
| title_short | On the functional polystability of certain essentially nonlinear nonautonomous differential systems |
| title_sort | on the functional polystability of certain essentially nonlinear nonautonomous differential systems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4408 |
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