Asymptotic expansions of solutions to singularly perturbed systems
Under the condition that a degenerate system has an exponentially stable integral manifold, an asymptotic expansion of the Cauchy problem that generalizes the well known Vasil'eva expansion is constructed for a perturbed system.
Saved in:
| Date: | 1993 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1993
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5842 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512063694045184 |
|---|---|
| author | Shchitov, I. N. Щитов, И. Н. Щитов, И. Н. |
| author_facet | Shchitov, I. N. Щитов, И. Н. Щитов, И. Н. |
| author_sort | Shchitov, I. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:18:55Z |
| description | Under the condition that a degenerate system has an exponentially stable integral manifold, an asymptotic expansion of the Cauchy problem that generalizes the well known Vasil'eva expansion is constructed for a perturbed system. |
| first_indexed | 2026-03-24T03:22:50Z |
| format | Article |
| fulltext |
0102
0103
0104
0105
0106
0107
0108
0109
0110
|
| id | umjimathkievua-article-5842 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:22:50Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/5f/2877931e27871f9cd43307a9f735cf5f.pdf |
| spelling | umjimathkievua-article-58422020-03-19T09:18:55Z Asymptotic expansions of solutions to singularly perturbed systems Асимптотические разложения решений сингулярно возмущенных систем Shchitov, I. N. Щитов, И. Н. Щитов, И. Н. Under the condition that a degenerate system has an exponentially stable integral manifold, an asymptotic expansion of the Cauchy problem that generalizes the well known Vasil'eva expansion is constructed for a perturbed system. При условии, что вырожденная система имеет экспоненциально устойчивое интегральное многообразие, для возмущенной системы построено асимптотическое разложение задачи Коши, обобщающее известное разложение А. Б. Васильевой. Institute of Mathematics, NAS of Ukraine 1993-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5842 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 4 (1993); 552–560 Український математичний журнал; Том 45 № 4 (1993); 552–560 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5842/8367 https://umj.imath.kiev.ua/index.php/umj/article/view/5842/8368 Copyright (c) 1993 Shchitov I. N. |
| spellingShingle | Shchitov, I. N. Щитов, И. Н. Щитов, И. Н. Asymptotic expansions of solutions to singularly perturbed systems |
| title | Asymptotic expansions of solutions to singularly perturbed systems |
| title_alt | Асимптотические разложения решений сингулярно возмущенных систем |
| title_full | Asymptotic expansions of solutions to singularly perturbed systems |
| title_fullStr | Asymptotic expansions of solutions to singularly perturbed systems |
| title_full_unstemmed | Asymptotic expansions of solutions to singularly perturbed systems |
| title_short | Asymptotic expansions of solutions to singularly perturbed systems |
| title_sort | asymptotic expansions of solutions to singularly perturbed systems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5842 |
| work_keys_str_mv | AT shchitovin asymptoticexpansionsofsolutionstosingularlyperturbedsystems AT ŝitovin asymptoticexpansionsofsolutionstosingularlyperturbedsystems AT ŝitovin asymptoticexpansionsofsolutionstosingularlyperturbedsystems AT shchitovin asimptotičeskierazloženiârešenijsingulârnovozmuŝennyhsistem AT ŝitovin asimptotičeskierazloženiârešenijsingulârnovozmuŝennyhsistem AT ŝitovin asimptotičeskierazloženiârešenijsingulârnovozmuŝennyhsistem |