Asymptotics of a solution of a discontinuous singularly perturbed Cauchy problem
We construct the asymptotic expansion of a solution of the Cauchy problem for a singularly perturbed system of differential equations whose right-hand side is discontinuous on a certain surface. We consider the case where the surface of discontinuity is crossed and estimate the remainder of the cons...
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| Date: | 1994 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1994
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5589 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511819639029760 |
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| author | Mel'nik, T. A. Мельник, Т. А. Мельник, Т. А. |
| author_facet | Mel'nik, T. A. Мельник, Т. А. Мельник, Т. А. |
| author_sort | Mel'nik, T. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:14:13Z |
| description | We construct the asymptotic expansion of a solution of the Cauchy problem for a singularly perturbed system of differential equations whose right-hand side is discontinuous on a certain surface. We consider the case where the surface of discontinuity is crossed and estimate the remainder of the constructed asymptotic expansion. |
| first_indexed | 2026-03-24T03:18:57Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5589 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:18:57Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/1b/9eba103167d36c86c59b4c737f2e4c1b.pdf |
| spelling | umjimathkievua-article-55892020-03-19T09:14:13Z Asymptotics of a solution of a discontinuous singularly perturbed Cauchy problem Асимптотика решений некоторой разрывной сингулярно возмущенной задачи Коши Mel'nik, T. A. Мельник, Т. А. Мельник, Т. А. We construct the asymptotic expansion of a solution of the Cauchy problem for a singularly perturbed system of differential equations whose right-hand side is discontinuous on a certain surface. We consider the case where the surface of discontinuity is crossed and estimate the remainder of the constructed asymptotic expansion. Побудовано аснмпготичний розклад розв’язку задачі Коші для сингулярно збуреної системи диференціальних рівнянь з правою частиною, розривною на певній поверхні. Розглядається випадок перерізу поверхні розриву. Для побудованого асимптотичного зображення одержана оцінка залишкового члена. Institute of Mathematics, NAS of Ukraine 1994-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5589 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 11 (1994); 1502–1508 Український математичний журнал; Том 46 № 11 (1994); 1502–1508 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5589/7863 https://umj.imath.kiev.ua/index.php/umj/article/view/5589/7864 Copyright (c) 1994 Mel'nik T. A. |
| spellingShingle | Mel'nik, T. A. Мельник, Т. А. Мельник, Т. А. Asymptotics of a solution of a discontinuous singularly perturbed Cauchy problem |
| title | Asymptotics of a solution of a discontinuous singularly perturbed Cauchy problem |
| title_alt | Асимптотика решений некоторой разрывной сингулярно возмущенной задачи Коши |
| title_full | Asymptotics of a solution of a discontinuous singularly perturbed Cauchy problem |
| title_fullStr | Asymptotics of a solution of a discontinuous singularly perturbed Cauchy problem |
| title_full_unstemmed | Asymptotics of a solution of a discontinuous singularly perturbed Cauchy problem |
| title_short | Asymptotics of a solution of a discontinuous singularly perturbed Cauchy problem |
| title_sort | asymptotics of a solution of a discontinuous singularly perturbed cauchy problem |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5589 |
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