On the instability of one nonautonomous essentially nonlinear equation of thenth order
We establish sufficient conditions for the Lyapunov instability of the trivial solution of a nonautonomous equation of thenth order in the case where its limit characteristic equation has a multiple zero root. The instability is determined by nonlinear terms.
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| Datum: | 1999 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1999
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4670 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510828473614336 |
|---|---|
| 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 | 2020-03-18T21:11:00Z |
| description | We establish sufficient conditions for the Lyapunov instability of the trivial solution of a nonautonomous equation of thenth order in the case where its limit characteristic equation has a multiple zero root. The instability is determined by nonlinear terms. |
| first_indexed | 2026-03-24T03:03:12Z |
| format | Article |
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| id | umjimathkievua-article-4670 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:03:12Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/28/fd7409a86c60a637e724e6ffcce1e828.pdf |
| spelling | umjimathkievua-article-46702020-03-18T21:11:00Z On the instability of one nonautonomous essentially nonlinear equation of thenth order О неустойчивости одного неавтономного существенно нелинейного уравнения $n$-го порядка Vitrychenko, I. E. Витриченко, И. Е. Витриченко, И. Е. We establish sufficient conditions for the Lyapunov instability of the trivial solution of a nonautonomous equation of thenth order in the case where its limit characteristic equation has a multiple zero root. The instability is determined by nonlinear terms. Одержано достатні умови нестійкості за Ляпуновим тривіального розв'язку неавтономного рівняння $n$-го порядку, коли його граничне характеристичне рівняння має кратний нульовий корінь. Нестійкість визначається нелінійними доданками. Institute of Mathematics, NAS of Ukraine 1999-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4670 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 6 (1999); 835–841 Український математичний журнал; Том 51 № 6 (1999); 835–841 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4670/6042 https://umj.imath.kiev.ua/index.php/umj/article/view/4670/6043 Copyright (c) 1999 Vitrychenko I. E. |
| spellingShingle | Vitrychenko, I. E. Витриченко, И. Е. Витриченко, И. Е. On the instability of one nonautonomous essentially nonlinear equation of thenth order |
| title | On the instability of one nonautonomous essentially nonlinear equation of thenth order |
| title_alt | О неустойчивости одного неавтономного существенно нелинейного уравнения $n$-го порядка |
| title_full | On the instability of one nonautonomous essentially nonlinear equation of thenth order |
| title_fullStr | On the instability of one nonautonomous essentially nonlinear equation of thenth order |
| title_full_unstemmed | On the instability of one nonautonomous essentially nonlinear equation of thenth order |
| title_short | On the instability of one nonautonomous essentially nonlinear equation of thenth order |
| title_sort | on the instability of one nonautonomous essentially nonlinear equation of thenth order |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4670 |
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