On the reduction principle in the theory of stability of motion
This paper deals with the development of Lyapunov's idea of reducing the problem of stability of the trivial solution of a system of higher-order differential equations to a similar problem for a system of lower order. Special attention is paid to the application of integral manifolds and a...
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| Date: | 1993 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1993
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5973 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512196245585920 |
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| author | Lykova, O. B. Лыкова, О. Б. Лыкова, О. Б. |
| author_facet | Lykova, O. B. Лыкова, О. Б. Лыкова, О. Б. |
| author_sort | Lykova, O. B. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:22:20Z |
| description | This paper deals with the development of Lyapunov's idea of reducing the problem of stability of the trivial solution of a system of higher-order differential equations to a similar problem for a system of lower order. Special attention is paid to the application of integral manifolds and approximate integral manifolds. |
| first_indexed | 2026-03-24T03:24:56Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5973 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:24:56Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/cd/32aef7378aadf75d7571b473e9917acd.pdf |
| spelling | umjimathkievua-article-59732020-03-19T09:22:20Z On the reduction principle in the theory of stability of motion О принципе сведения в теории устойчивости движения Lykova, O. B. Лыкова, О. Б. Лыкова, О. Б. This paper deals with the development of Lyapunov's idea of reducing the problem of stability of the trivial solution of a system of higher-order differential equations to a similar problem for a system of lower order. Special attention is paid to the application of integral manifolds and approximate integral manifolds. Просліджується розвиток ідеї О. М. Ляпунова про зведення задачі про стійкість нульового розв’язку системи диференціальних рівнянь високого порядку до аналогічної задачі для системи більш низького порядку. Особлива увага приділяється застосуванню для цієї мети інтегральних многовидів, а також наближених інтегральних многовидів. Institute of Mathematics, NAS of Ukraine 1993-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5973 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 12 (1993); 1653–1660 Український математичний журнал; Том 45 № 12 (1993); 1653–1660 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5973/8629 https://umj.imath.kiev.ua/index.php/umj/article/view/5973/8630 Copyright (c) 1993 Lykova O. B. |
| spellingShingle | Lykova, O. B. Лыкова, О. Б. Лыкова, О. Б. On the reduction principle in the theory of stability of motion |
| title | On the reduction principle in the theory of stability of motion |
| title_alt | О принципе сведения в теории устойчивости движения |
| title_full | On the reduction principle in the theory of stability of motion |
| title_fullStr | On the reduction principle in the theory of stability of motion |
| title_full_unstemmed | On the reduction principle in the theory of stability of motion |
| title_short | On the reduction principle in the theory of stability of motion |
| title_sort | on the reduction principle in the theory of stability of motion |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5973 |
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