On the structure of the general solution of a degenerate linear system of second-order differential equations
We establish sufficient conditions for the existence of a general Cauchy-type solution and conditions for the solvability of the Cauchy problem for a system of second-order differential equations.
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| Datum: | 1998 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1998
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4962 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511149650345984 |
|---|---|
| author | Yakovets, V. P. Яковець, В. П. |
| author_facet | Yakovets, V. P. Яковець, В. П. |
| author_sort | Yakovets, V. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:20:56Z |
| description | We establish sufficient conditions for the existence of a general Cauchy-type solution and conditions for the solvability of the Cauchy problem for a system of second-order differential equations. |
| first_indexed | 2026-03-24T03:08:18Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4962 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:08:18Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ed/cfd988d6df7fa449c308d36c488f69ed.pdf |
| spelling | umjimathkievua-article-49622020-03-18T21:20:56Z On the structure of the general solution of a degenerate linear system of second-order differential equations Про структуру загального розв'язку виродженої лінійної системи диференціальних рівнянь другого порядку Yakovets, V. P. Яковець, В. П. We establish sufficient conditions for the existence of a general Cauchy-type solution and conditions for the solvability of the Cauchy problem for a system of second-order differential equations. Знайдено достатні умови існування загального розв'язку типу Коші та умови розв'язності задачі Коші для системи диференціальних рівнянь другого порядку. Institute of Mathematics, NAS of Ukraine 1998-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4962 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 2 (1998); 292–298 Український математичний журнал; Том 50 № 2 (1998); 292–298 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4962/6623 https://umj.imath.kiev.ua/index.php/umj/article/view/4962/6624 Copyright (c) 1998 Yakovets V. P. |
| spellingShingle | Yakovets, V. P. Яковець, В. П. On the structure of the general solution of a degenerate linear system of second-order differential equations |
| title | On the structure of the general solution of a degenerate linear system of second-order differential equations |
| title_alt | Про структуру загального розв'язку виродженої лінійної системи диференціальних рівнянь другого порядку |
| title_full | On the structure of the general solution of a degenerate linear system of second-order differential equations |
| title_fullStr | On the structure of the general solution of a degenerate linear system of second-order differential equations |
| title_full_unstemmed | On the structure of the general solution of a degenerate linear system of second-order differential equations |
| title_short | On the structure of the general solution of a degenerate linear system of second-order differential equations |
| title_sort | on the structure of the general solution of a degenerate linear system of second-order differential equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4962 |
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