On periodic solutions of linear degenerate second-order ordinary differential equations
We consider a scalar linear second-order ordinary differential equation whose coefficient of the second derivative may change its sign when vanishing. For this equation, we obtain sufficient conditions for the existence of a periodic solution in the case of arbitrary periodic inhomogeneity.
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| Date: | 1997 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1997
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5107 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511302910214144 |
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| author | Er’omenko, V. O. Ерёменко, В. А. Ерёменко, В. А. |
| author_facet | Er’omenko, V. O. Ерёменко, В. А. Ерёменко, В. А. |
| author_sort | Er’omenko, V. O. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:24:43Z |
| description | We consider a scalar linear second-order ordinary differential equation whose coefficient of the second derivative may change its sign when vanishing. For this equation, we obtain sufficient conditions for the existence of a periodic solution in the case of arbitrary periodic inhomogeneity. |
| first_indexed | 2026-03-24T03:10:44Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5107 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:10:44Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/00/3ef742189d95a4ab695e5fb7d5df3100.pdf |
| spelling | umjimathkievua-article-51072020-03-18T21:24:43Z On periodic solutions of linear degenerate second-order ordinary differential equations О периодических решениях линейных вырожденных обыкновенных дифференциальных уравнений второго порядка Er’omenko, V. O. Ерёменко, В. А. Ерёменко, В. А. We consider a scalar linear second-order ordinary differential equation whose coefficient of the second derivative may change its sign when vanishing. For this equation, we obtain sufficient conditions for the existence of a periodic solution in the case of arbitrary periodic inhomogeneity. Для скалярного лінійного звичайного диференціального рівняння другого порядку, коефіцієнт при другій похідній якого, набуваючи нульового значення, може змінювати знак, одержано достатні умови існування періодичного розв'язку для довільної періодичної неоднорідності. Institute of Mathematics, NAS of Ukraine 1997-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5107 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 8 (1997); 1137–1142 Український математичний журнал; Том 49 № 8 (1997); 1137–1142 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5107/6910 https://umj.imath.kiev.ua/index.php/umj/article/view/5107/6911 Copyright (c) 1997 Er’omenko V. O. |
| spellingShingle | Er’omenko, V. O. Ерёменко, В. А. Ерёменко, В. А. On periodic solutions of linear degenerate second-order ordinary differential equations |
| title | On periodic solutions of linear degenerate second-order ordinary differential equations |
| title_alt | О периодических решениях линейных вырожденных обыкновенных дифференциальных уравнений второго порядка |
| title_full | On periodic solutions of linear degenerate second-order ordinary differential equations |
| title_fullStr | On periodic solutions of linear degenerate second-order ordinary differential equations |
| title_full_unstemmed | On periodic solutions of linear degenerate second-order ordinary differential equations |
| title_short | On periodic solutions of linear degenerate second-order ordinary differential equations |
| title_sort | on periodic solutions of linear degenerate second-order ordinary differential equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5107 |
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