Boundary-value problems with parameters for a multifrequency oscillation system
By using the averaging method, we prove the solvability of boundary-value problems with parameters for nonlinear oscillation systems. We obtain estimates for the deviation of solutions of averaged problems from solutions of original problems.
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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/5034 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511228329197568 |
|---|---|
| author | Petryshyn, Ya. R. Samoilenko, A. M. Петришин, Я. Р. Самойленко, А. М. |
| author_facet | Petryshyn, Ya. R. Samoilenko, A. M. Петришин, Я. Р. Самойленко, А. М. |
| author_sort | Petryshyn, Ya. R. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:23:18Z |
| description | By using the averaging method, we prove the solvability of boundary-value problems with parameters for nonlinear oscillation systems. We obtain estimates for the deviation of solutions of averaged problems from solutions of original problems. |
| first_indexed | 2026-03-24T03:09:33Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5034 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:09:33Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f0/9d0aff6a8306ebae7e9a8582bb8aebf0.pdf |
| spelling | umjimathkievua-article-50342020-03-18T21:23:18Z Boundary-value problems with parameters for a multifrequency oscillation system Крайові задачі з параметрами для багаточастотної коливної системи Petryshyn, Ya. R. Samoilenko, A. M. Петришин, Я. Р. Самойленко, А. М. By using the averaging method, we prove the solvability of boundary-value problems with parameters for nonlinear oscillation systems. We obtain estimates for the deviation of solutions of averaged problems from solutions of original problems. Доведена розв'язність крайових задач з параметрами для нелінійних коливних систем за допомогою методу усереднення. Встановлено також оцінки відхилення розв'язків вихідних і усереднених задач. Institute of Mathematics, NAS of Ukraine 1997-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5034 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 4 (1997); 581–589 Український математичний журнал; Том 49 № 4 (1997); 581–589 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5034/6767 https://umj.imath.kiev.ua/index.php/umj/article/view/5034/6768 Copyright (c) 1997 Petryshyn Ya. R.; Samoilenko A. M. |
| spellingShingle | Petryshyn, Ya. R. Samoilenko, A. M. Петришин, Я. Р. Самойленко, А. М. Boundary-value problems with parameters for a multifrequency oscillation system |
| title | Boundary-value problems with parameters for a multifrequency oscillation system |
| title_alt | Крайові задачі з параметрами для багаточастотної
коливної системи |
| title_full | Boundary-value problems with parameters for a multifrequency oscillation system |
| title_fullStr | Boundary-value problems with parameters for a multifrequency oscillation system |
| title_full_unstemmed | Boundary-value problems with parameters for a multifrequency oscillation system |
| title_short | Boundary-value problems with parameters for a multifrequency oscillation system |
| title_sort | boundary-value problems with parameters for a multifrequency oscillation system |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5034 |
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