Subharmonics of a Nonconvex Noncoercive Hamiltonian System
We study the problem of the existence of multiple periodic solutions of the Hamiltonian system $$J\dot x + u\nabla G\left( {t,u\left( x \right)} \right) = e\left( t \right),$$ where u is a linear mapping, G is a C 1-function, and e is a continuous function.
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| Date: | 2003 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
2003
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4016 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510148451106816 |
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| author | Kallel, N. Timoumi, М. Каллел, Н. Тімумі, М. |
| author_facet | Kallel, N. Timoumi, М. Каллел, Н. Тімумі, М. |
| author_sort | Kallel, N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:18:28Z |
| description | We study the problem of the existence of multiple periodic solutions of the Hamiltonian system $$J\dot x + u\nabla G\left( {t,u\left( x \right)} \right) = e\left( t \right),$$ where u is a linear mapping, G is a C 1-function, and e is a continuous function. |
| first_indexed | 2026-03-24T02:52:23Z |
| format | Article |
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| id | umjimathkievua-article-4016 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T02:52:23Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ef/2da34718e83f4e2f03899e6fc12222ef.pdf |
| spelling | umjimathkievua-article-40162020-03-18T20:18:28Z Subharmonics of a Nonconvex Noncoercive Hamiltonian System Субгармошки неопуклої некоерцитивної гамільтонової системи Kallel, N. Timoumi, М. Каллел, Н. Тімумі, М. We study the problem of the existence of multiple periodic solutions of the Hamiltonian system $$J\dot x + u\nabla G\left( {t,u\left( x \right)} \right) = e\left( t \right),$$ where u is a linear mapping, G is a C 1-function, and e is a continuous function. Досліджено питания про існування кратних періодичних розв'язків гамільтоиової системи $$J\dot x + u\nabla G\left( {t,u\left( x \right)} \right) = e\left( t \right),$$ де $u$—лінійне відображення, $G$ - $C^1$-функція та $e$ — неперервна функція. Institute of Mathematics, NAS of Ukraine 2003-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4016 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 11 (2003); 1459-1466 Український математичний журнал; Том 55 № 11 (2003); 1459-1466 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/4016/4743 https://umj.imath.kiev.ua/index.php/umj/article/view/4016/4744 Copyright (c) 2003 Kallel N.; Timoumi М. |
| spellingShingle | Kallel, N. Timoumi, М. Каллел, Н. Тімумі, М. Subharmonics of a Nonconvex Noncoercive Hamiltonian System |
| title | Subharmonics of a Nonconvex Noncoercive Hamiltonian System |
| title_alt | Субгармошки неопуклої некоерцитивної гамільтонової системи |
| title_full | Subharmonics of a Nonconvex Noncoercive Hamiltonian System |
| title_fullStr | Subharmonics of a Nonconvex Noncoercive Hamiltonian System |
| title_full_unstemmed | Subharmonics of a Nonconvex Noncoercive Hamiltonian System |
| title_short | Subharmonics of a Nonconvex Noncoercive Hamiltonian System |
| title_sort | subharmonics of a nonconvex noncoercive hamiltonian system |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4016 |
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