Solutions of Weakly-Perturbed Linear Systems Bounded on the Entire Axis
We establish conditions under which solutions of weakly-perturbed systems of linear ordinary differential equations bounded on the entire axis R emerge from the point ε = 0 in the case where the corresponding unperturbed homogeneous linear differential system is exponentially dichotomous on the semi...
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| Date: | 2002 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4189 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510321738776576 |
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| author | Boichuk, А. A. Boichuk, О. A. Samoilenko, A. M. Бойчук, Ан. А. Бойчук, А. А. Самойленко, А. М. Бойчук, Ан. А. Бойчук, А. А. Самойленко, А. М. |
| author_facet | Boichuk, А. A. Boichuk, О. A. Samoilenko, A. M. Бойчук, Ан. А. Бойчук, А. А. Самойленко, А. М. Бойчук, Ан. А. Бойчук, А. А. Самойленко, А. М. |
| author_sort | Boichuk, А. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:23:57Z |
| description | We establish conditions under which solutions of weakly-perturbed systems of linear ordinary differential equations bounded on the entire axis R emerge from the point ε = 0 in the case where the corresponding unperturbed homogeneous linear differential system is exponentially dichotomous on the semiaxes R + and R −. |
| first_indexed | 2026-03-24T02:55:09Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4189 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:55:09Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/b9/589d504dc7781c0def19aca73c9ee4b9.pdf |
| spelling | umjimathkievua-article-41892020-03-18T20:23:57Z Solutions of Weakly-Perturbed Linear Systems Bounded on the Entire Axis Ограниченные на всей оси решения линейных слабовозмущенных систем Boichuk, А. A. Boichuk, О. A. Samoilenko, A. M. Бойчук, Ан. А. Бойчук, А. А. Самойленко, А. М. Бойчук, Ан. А. Бойчук, А. А. Самойленко, А. М. We establish conditions under which solutions of weakly-perturbed systems of linear ordinary differential equations bounded on the entire axis R emerge from the point ε = 0 in the case where the corresponding unperturbed homogeneous linear differential system is exponentially dichotomous on the semiaxes R + and R −. Отримано умови появи з точки ε = 0 обмежених на всій осі R розв'язків слабкозбурених систем лінійних звичайних диференціальних рівнянь у випадку, коли відповідна незбурена однорідна лінійна диференціальна система є експоненціально-дихотомічною на півосях R + та R −. Institute of Mathematics, NAS of Ukraine 2002-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4189 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 11 (2002); 1517-1530 Український математичний журнал; Том 54 № 11 (2002); 1517-1530 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4189/5085 https://umj.imath.kiev.ua/index.php/umj/article/view/4189/5086 Copyright (c) 2002 Boichuk А. A.; Boichuk О. A.; Samoilenko A. M. |
| spellingShingle | Boichuk, А. A. Boichuk, О. A. Samoilenko, A. M. Бойчук, Ан. А. Бойчук, А. А. Самойленко, А. М. Бойчук, Ан. А. Бойчук, А. А. Самойленко, А. М. Solutions of Weakly-Perturbed Linear Systems Bounded on the Entire Axis |
| title | Solutions of Weakly-Perturbed Linear Systems Bounded on the Entire Axis |
| title_alt | Ограниченные на всей оси решения линейных слабовозмущенных систем
|
| title_full | Solutions of Weakly-Perturbed Linear Systems Bounded on the Entire Axis |
| title_fullStr | Solutions of Weakly-Perturbed Linear Systems Bounded on the Entire Axis |
| title_full_unstemmed | Solutions of Weakly-Perturbed Linear Systems Bounded on the Entire Axis |
| title_short | Solutions of Weakly-Perturbed Linear Systems Bounded on the Entire Axis |
| title_sort | solutions of weakly-perturbed linear systems bounded on the entire axis |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4189 |
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