On stability of the trivial solution of a nonautonomous quasilinear system whose characteristic equation has multiple roots
For $t \uparrow \omega, \quad \omega \leq +\infty$, we obtain sufficient conditions for Lyapunov stability of the zero solution of a specific nonautonomous quasilinear differential system in the case where the matrix of the first-degree approximation has the Jordan form with triangular blocks. Met...
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| Дата: | 1994 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1994
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5660 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511888190734336 |
|---|---|
| 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 | 2020-03-19T09:15:19Z |
| description | For $t \uparrow \omega, \quad \omega \leq +\infty$, we obtain sufficient conditions for Lyapunov stability of the zero solution of a specific nonautonomous quasilinear differential system in the case where the matrix
of the first-degree approximation has the Jordan form with triangular blocks.
Methods to reduce certain classes of general differential systems to differential systems of special type are given. |
| first_indexed | 2026-03-24T03:20:03Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5660 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:20:03Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d9/275db47987c86f47b9486b8affcea7d9.pdf |
| spelling | umjimathkievua-article-56602020-03-19T09:15:19Z On stability of the trivial solution of a nonautonomous quasilinear system whose characteristic equation has multiple roots К устойчивости тривиального решения неавтономной квазилинейной системы в случае кратных корней характеристического уравнения Vitrychenko, I. E. Витриченко, И. Е. Витриченко, И. Е. For $t \uparrow \omega, \quad \omega \leq +\infty$, we obtain sufficient conditions for Lyapunov stability of the zero solution of a specific nonautonomous quasilinear differential system in the case where the matrix of the first-degree approximation has the Jordan form with triangular blocks. Methods to reduce certain classes of general differential systems to differential systems of special type are given. Одержано достатні умови стійкості за Ляпуновим при $t \uparrow \omega, \quad \omega \leq +\infty$, тривіального розв’язку неавтономної диференціальної системи (д. с.) спеціального вигляду, матриця коефіцієїггів д. с. першого наближення якої має майже жорданову форму з трикутними блоками. Вказано методи зведення деяких класів д. с. загального вигляду до дослідженої д. с. спеціального вигляду. Institute of Mathematics, NAS of Ukraine 1994-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5660 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 8 (1994); 1072–1079 Український математичний журнал; Том 46 № 8 (1994); 1072–1079 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5660/8005 https://umj.imath.kiev.ua/index.php/umj/article/view/5660/8006 Copyright (c) 1994 Vitrychenko I. E. |
| spellingShingle | Vitrychenko, I. E. Витриченко, И. Е. Витриченко, И. Е. On stability of the trivial solution of a nonautonomous quasilinear system whose characteristic equation has multiple roots |
| title | On stability of the trivial solution of a nonautonomous quasilinear system whose characteristic equation has multiple roots |
| title_alt | К устойчивости тривиального решения неавтономной квазилинейной системы в случае кратных корней характеристического уравнения |
| title_full | On stability of the trivial solution of a nonautonomous quasilinear system whose characteristic equation has multiple roots |
| title_fullStr | On stability of the trivial solution of a nonautonomous quasilinear system whose characteristic equation has multiple roots |
| title_full_unstemmed | On stability of the trivial solution of a nonautonomous quasilinear system whose characteristic equation has multiple roots |
| title_short | On stability of the trivial solution of a nonautonomous quasilinear system whose characteristic equation has multiple roots |
| title_sort | on stability of the trivial solution of a nonautonomous quasilinear system whose characteristic equation has multiple roots |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5660 |
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