Construction of approximations for a stationary solution of a system of singular ordinary differential equations
We propose a procedure for the construction of successive approximations of a stationary solution of a system of nonlinear ordinary differential equations with a small parameter with the derivative. We present sufficient conditions for the convergence of constructed approximations to the required st...
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| Date: | 1997 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian 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/5061 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511259308326912 |
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| author | Romanyshyn, I. M. Synyts’kyi, L. A. Романишин, І. М. Синицький, Л. А. |
| author_facet | Romanyshyn, I. M. Synyts’kyi, L. A. Романишин, І. М. Синицький, Л. А. |
| author_sort | Romanyshyn, I. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:24:02Z |
| description | We propose a procedure for the construction of successive approximations of a stationary solution of a system of nonlinear ordinary differential equations with a small parameter with the derivative. We present sufficient conditions for the convergence of constructed approximations to the required stationary solution. |
| first_indexed | 2026-03-24T03:10:03Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5061 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:10:03Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ff/45d04631ebb4e1db94b5be1dbd8bd5ff.pdf |
| spelling | umjimathkievua-article-50612020-03-18T21:24:02Z Construction of approximations for a stationary solution of a system of singular ordinary differential equations Побудова наближень до стаціонарного розв'язку системи сингулярних звичайних диференціальних рівнянь Romanyshyn, I. M. Synyts’kyi, L. A. Романишин, І. М. Синицький, Л. А. We propose a procedure for the construction of successive approximations of a stationary solution of a system of nonlinear ordinary differential equations with a small parameter with the derivative. We present sufficient conditions for the convergence of constructed approximations to the required stationary solution. Запропонована процедура побудови послідовних наближень до стаціонарного розв'язку системи нелінійних звичайних диференціальних рівнянь з малим параметром при похідній. Наведені достатні умови асимптотичності побудованих наближень до шуканого стаціонарного розв'язку. Institute of Mathematics, NAS of Ukraine 1997-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5061 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 6 (1997); 774–778 Український математичний журнал; Том 49 № 6 (1997); 774–778 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5061/6819 https://umj.imath.kiev.ua/index.php/umj/article/view/5061/6820 Copyright (c) 1997 Romanyshyn I. M.; Synyts’kyi L. A. |
| spellingShingle | Romanyshyn, I. M. Synyts’kyi, L. A. Романишин, І. М. Синицький, Л. А. Construction of approximations for a stationary solution of a system of singular ordinary differential equations |
| title | Construction of approximations for a stationary solution of a system of singular ordinary differential equations |
| title_alt | Побудова наближень до стаціонарного розв'язку
системи сингулярних звичайних диференціальних рівнянь |
| title_full | Construction of approximations for a stationary solution of a system of singular ordinary differential equations |
| title_fullStr | Construction of approximations for a stationary solution of a system of singular ordinary differential equations |
| title_full_unstemmed | Construction of approximations for a stationary solution of a system of singular ordinary differential equations |
| title_short | Construction of approximations for a stationary solution of a system of singular ordinary differential equations |
| title_sort | construction of approximations for a stationary solution of a system of singular ordinary differential equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5061 |
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