The existence of a bifurcation value of a parameter of a system of differential equations with deviating argument
We prove a theorem on the existence of a nonzero periodic solution of a system of differential equations with deviation that depends both on an unknown function and on its derivative. This result is obtained for the case where the matrix of linear approximation has zero and imaginary eigenvalues if...
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| Date: | 1997 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
1997
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5064 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511261967515648 |
|---|---|
| author | Nasykhova, L. V. Terekhin, M. T. Насыхова, Л. Г. Терехин, М. Т. Насыхова, Л. Г. Терехин, М. Т. |
| author_facet | Nasykhova, L. V. Terekhin, M. T. Насыхова, Л. Г. Терехин, М. Т. Насыхова, Л. Г. Терехин, М. Т. |
| author_sort | Nasykhova, L. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:24:02Z |
| description | We prove a theorem on the existence of a nonzero periodic solution of a system of differential equations with deviation that depends both on an unknown function and on its derivative. This result is obtained for the case where the matrix of linear approximation has zero and imaginary eigenvalues if the parameter takes a critical value. |
| first_indexed | 2026-03-24T03:10:05Z |
| format | Article |
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| id | umjimathkievua-article-5064 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:10:05Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/4d/de81315cd8d2f5c095ca70a4ca0c4b4d.pdf |
| spelling | umjimathkievua-article-50642020-03-18T21:24:02Z The existence of a bifurcation value of a parameter of a system of differential equations with deviating argument Существование бифуркационного значения параметра системы дифференциальных уравнений с отклоняющимся аргументом Nasykhova, L. V. Terekhin, M. T. Насыхова, Л. Г. Терехин, М. Т. Насыхова, Л. Г. Терехин, М. Т. We prove a theorem on the existence of a nonzero periodic solution of a system of differential equations with deviation that depends both on an unknown function and on its derivative. This result is obtained for the case where the matrix of linear approximation has zero and imaginary eigenvalues if the parameter takes a critical value. Доведено георему про існування ненульового періодичного розв'язку системи диференціальних рівнянь з відхиленням, яке залежить як від невідомої функції, так і від її похідної, у випадку, коли матриця лінійного наближення при критичному значенні параметра мас ненульові і уявні власні значення. Institute of Mathematics, NAS of Ukraine 1997-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5064 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 6 (1997); 799–805 Український математичний журнал; Том 49 № 6 (1997); 799–805 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5064/6825 https://umj.imath.kiev.ua/index.php/umj/article/view/5064/6826 Copyright (c) 1997 Nasykhova L. V.; Terekhin M. T. |
| spellingShingle | Nasykhova, L. V. Terekhin, M. T. Насыхова, Л. Г. Терехин, М. Т. Насыхова, Л. Г. Терехин, М. Т. The existence of a bifurcation value of a parameter of a system of differential equations with deviating argument |
| title | The existence of a bifurcation value of a parameter of a system of differential equations with deviating argument |
| title_alt | Существование бифуркационного значения параметра
системы дифференциальных уравнений с отклоняющимся аргументом |
| title_full | The existence of a bifurcation value of a parameter of a system of differential equations with deviating argument |
| title_fullStr | The existence of a bifurcation value of a parameter of a system of differential equations with deviating argument |
| title_full_unstemmed | The existence of a bifurcation value of a parameter of a system of differential equations with deviating argument |
| title_short | The existence of a bifurcation value of a parameter of a system of differential equations with deviating argument |
| title_sort | existence of a bifurcation value of a parameter of a system of differential equations with deviating argument |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5064 |
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