Averaging of Boundary-Value Problems with Parameters for Multifrequency Impulsive Systems
By using the averaging method, we prove the solvability of boundary-value problems with parameters for nonlinear oscillating systems with pulse influence at fixed times. We also obtain estimates for the deviation of solutions of the averaged problem from solutions of the original problem.
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| Date: | 2002 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4162 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510298314637312 |
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| author | Lakusta, L. M. Petryshyn, R. I. Samoilenko, A. M. Лакуста, Л. М. Петришин, Р. І. Самойленко, А. М. |
| author_facet | Lakusta, L. M. Petryshyn, R. I. Samoilenko, A. M. Лакуста, Л. М. Петришин, Р. І. Самойленко, А. М. |
| author_sort | Lakusta, L. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:23:25Z |
| description | By using the averaging method, we prove the solvability of boundary-value problems with parameters for nonlinear oscillating systems with pulse influence at fixed times. We also obtain estimates for the deviation of solutions of the averaged problem from solutions of the original problem. |
| first_indexed | 2026-03-24T02:54:46Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4162 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:54:46Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/fa/468262d537b801bf9411f46562ca2cfa.pdf |
| spelling | umjimathkievua-article-41622020-03-18T20:23:25Z Averaging of Boundary-Value Problems with Parameters for Multifrequency Impulsive Systems Усереднення крайових задач з параметрами для багаточастотних імпульсних систем Lakusta, L. M. Petryshyn, R. I. Samoilenko, A. M. Лакуста, Л. М. Петришин, Р. І. Самойленко, А. М. By using the averaging method, we prove the solvability of boundary-value problems with parameters for nonlinear oscillating systems with pulse influence at fixed times. We also obtain estimates for the deviation of solutions of the averaged problem from solutions of the original problem. За допомогою методу усереднення доведено розв'язність крайових задач з параметрами для нелінійних коливних систем, що зазнають імпульсного впливу у фіксовані моменти часу. Встановлено також оцінки відхилень розв'язків вихідної та усередненої задач. Institute of Mathematics, NAS of Ukraine 2002-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4162 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 9 (2002); 1237-1249 Український математичний журнал; Том 54 № 9 (2002); 1237-1249 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4162/5033 https://umj.imath.kiev.ua/index.php/umj/article/view/4162/5034 Copyright (c) 2002 Lakusta L. M.; Petryshyn R. I.; Samoilenko A. M. |
| spellingShingle | Lakusta, L. M. Petryshyn, R. I. Samoilenko, A. M. Лакуста, Л. М. Петришин, Р. І. Самойленко, А. М. Averaging of Boundary-Value Problems with Parameters for Multifrequency Impulsive Systems |
| title | Averaging of Boundary-Value Problems with Parameters for Multifrequency Impulsive Systems |
| title_alt | Усереднення крайових задач з параметрами для багаточастотних імпульсних систем |
| title_full | Averaging of Boundary-Value Problems with Parameters for Multifrequency Impulsive Systems |
| title_fullStr | Averaging of Boundary-Value Problems with Parameters for Multifrequency Impulsive Systems |
| title_full_unstemmed | Averaging of Boundary-Value Problems with Parameters for Multifrequency Impulsive Systems |
| title_short | Averaging of Boundary-Value Problems with Parameters for Multifrequency Impulsive Systems |
| title_sort | averaging of boundary-value problems with parameters for multifrequency impulsive systems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4162 |
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