Existence of Small Periodic Solutions of Nonlinear Systems of Ordinary Differential Equations
We investigate the case where conditions for the existence of a nonzero periodic solution of a system of ordinary differential equations are determined by the properties of elements of the matrix of linear approximation and the properties of nonlinear terms.
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| Datum: | 2001 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2001
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4289 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510418763513856 |
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| author | Terekhin, M. T. Терехин, М. Т. Терехин, М. Т. |
| author_facet | Terekhin, M. T. Терехин, М. Т. Терехин, М. Т. |
| author_sort | Terekhin, M. T. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:25:53Z |
| description | We investigate the case where conditions for the existence of a nonzero periodic solution of a system of ordinary differential equations are determined by the properties of elements of the matrix of linear approximation and the properties of nonlinear terms. |
| first_indexed | 2026-03-24T02:56:41Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4289 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:56:41Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/e0/c7cbaee5667429c70b237acc3f89e2e0.pdf |
| spelling | umjimathkievua-article-42892020-03-18T20:25:53Z Existence of Small Periodic Solutions of Nonlinear Systems of Ordinary Differential Equations Существование малых периодических решений нелинейных систем обыкновенных дифференциальных уравнений Terekhin, M. T. Терехин, М. Т. Терехин, М. Т. We investigate the case where conditions for the existence of a nonzero periodic solution of a system of ordinary differential equations are determined by the properties of elements of the matrix of linear approximation and the properties of nonlinear terms. Досліджено випадки, коли умови існування непульового періодичного розв'язку системи звичайних диференціальних рівнянь визначаються як властивостями елементів матриці лінійного наближення, так і властивостями нелінійних членів. Institute of Mathematics, NAS of Ukraine 2001-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4289 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 5 (2001); 680-687 Український математичний журнал; Том 53 № 5 (2001); 680-687 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4289/5282 https://umj.imath.kiev.ua/index.php/umj/article/view/4289/5283 Copyright (c) 2001 Terekhin M. T. |
| spellingShingle | Terekhin, M. T. Терехин, М. Т. Терехин, М. Т. Existence of Small Periodic Solutions of Nonlinear Systems of Ordinary Differential Equations |
| title | Existence of Small Periodic Solutions of Nonlinear Systems of Ordinary Differential Equations |
| title_alt | Существование малых периодических решений нелинейных систем
обыкновенных дифференциальных уравнений |
| title_full | Existence of Small Periodic Solutions of Nonlinear Systems of Ordinary Differential Equations |
| title_fullStr | Existence of Small Periodic Solutions of Nonlinear Systems of Ordinary Differential Equations |
| title_full_unstemmed | Existence of Small Periodic Solutions of Nonlinear Systems of Ordinary Differential Equations |
| title_short | Existence of Small Periodic Solutions of Nonlinear Systems of Ordinary Differential Equations |
| title_sort | existence of small periodic solutions of nonlinear systems of ordinary differential equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4289 |
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