Averaging method in some problems of the theory of nonlinear oscillations
By using the averaging method, we prove the solvability of multipoint problems for nonlinear oscillation systems. The deviation of the solutions of original and averaged problems is estimated.
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| Date: | 1995 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1995
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5474 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511704584028160 |
|---|---|
| author | Petryshyn, R. I. Петришин, Р. І. |
| author_facet | Petryshyn, R. I. Петришин, Р. І. |
| author_sort | Petryshyn, R. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:11:22Z |
| description | By using the averaging method, we prove the solvability of multipoint problems for nonlinear oscillation systems. The deviation of the solutions of original and averaged problems is estimated. |
| first_indexed | 2026-03-24T03:17:07Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5474 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:17:07Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/31/f04c7a50cfbd70ee6c82bc4de4ea0d31.pdf |
| spelling | umjimathkievua-article-54742020-03-19T09:11:22Z Averaging method in some problems of the theory of nonlinear oscillations Метод усереднення в деяких задачах теорії нелінійних коливань Petryshyn, R. I. Петришин, Р. І. By using the averaging method, we prove the solvability of multipoint problems for nonlinear oscillation systems. The deviation of the solutions of original and averaged problems is estimated. Доведена розв’язність багатоточкових задач для нелінійних коливних систем за допомогою методу усереднення. Встановлені також оцінки відхилення розв’язків вихідних і усереднених задач. Institute of Mathematics, NAS of Ukraine 1995-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5474 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 6 (1995); 801–810 Український математичний журнал; Том 47 № 6 (1995); 801–810 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5474/7637 https://umj.imath.kiev.ua/index.php/umj/article/view/5474/7638 Copyright (c) 1995 Petryshyn R. I. |
| spellingShingle | Petryshyn, R. I. Петришин, Р. І. Averaging method in some problems of the theory of nonlinear oscillations |
| title | Averaging method in some problems of the theory of nonlinear oscillations |
| title_alt | Метод усереднення в деяких задачах теорії нелінійних коливань |
| title_full | Averaging method in some problems of the theory of nonlinear oscillations |
| title_fullStr | Averaging method in some problems of the theory of nonlinear oscillations |
| title_full_unstemmed | Averaging method in some problems of the theory of nonlinear oscillations |
| title_short | Averaging method in some problems of the theory of nonlinear oscillations |
| title_sort | averaging method in some problems of the theory of nonlinear oscillations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5474 |
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