Asymptotics of the general solution to a linear singularly perturbed system of second-order differential equations with degeneracy
By using the perturbation methods and Newton diagrams, we study the structure and construct the asymptotics of the general solution to a linear singularly perturbed system of ordinary second-order differential equations in the case where the matrix by the higher derivative is degenerate.
Збережено в:
| Дата: | 1993 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1993
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5843 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512064545488896 |
|---|---|
| author | Yakovets, V. P. Яковец, В. П. Яковец, В. П. |
| author_facet | Yakovets, V. P. Яковец, В. П. Яковец, В. П. |
| author_sort | Yakovets, V. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:18:55Z |
| description | By using the perturbation methods and Newton diagrams, we study the structure and construct the asymptotics of the general solution to a linear singularly perturbed system of ordinary second-order differential equations in the case where the matrix by the higher derivative is degenerate. |
| first_indexed | 2026-03-24T03:22:51Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5843 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:22:51Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/e4/c68934a4c19350b6115b86a5c9f335e4.pdf |
| spelling | umjimathkievua-article-58432020-03-19T09:18:55Z Asymptotics of the general solution to a linear singularly perturbed system of second-order differential equations with degeneracy Исследование асимптотики общего решения линейной сингулярно возмущенной системы дифференциальных уравнений второго порядка с вырождением Yakovets, V. P. Яковец, В. П. Яковец, В. П. By using the perturbation methods and Newton diagrams, we study the structure and construct the asymptotics of the general solution to a linear singularly perturbed system of ordinary second-order differential equations in the case where the matrix by the higher derivative is degenerate. Используя методы возмущений и диаграммы Ньютона, исследуется структура и строится асимптотика общего решения линейной сингулярно возмущенной системы обыкновенных дифференциальных уравнений второго порядка в случае вырождения матрицы при старшей производной. Institute of Mathematics, NAS of Ukraine 1993-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5843 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 4 (1993); 561–575 Український математичний журнал; Том 45 № 4 (1993); 561–575 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5843/8369 https://umj.imath.kiev.ua/index.php/umj/article/view/5843/8370 Copyright (c) 1993 Yakovets V. P. |
| spellingShingle | Yakovets, V. P. Яковец, В. П. Яковец, В. П. Asymptotics of the general solution to a linear singularly perturbed system of second-order differential equations with degeneracy |
| title | Asymptotics of the general solution to a linear singularly perturbed system of second-order differential equations with degeneracy |
| title_alt | Исследование асимптотики общего решения линейной сингулярно возмущенной системы дифференциальных уравнений второго порядка с вырождением |
| title_full | Asymptotics of the general solution to a linear singularly perturbed system of second-order differential equations with degeneracy |
| title_fullStr | Asymptotics of the general solution to a linear singularly perturbed system of second-order differential equations with degeneracy |
| title_full_unstemmed | Asymptotics of the general solution to a linear singularly perturbed system of second-order differential equations with degeneracy |
| title_short | Asymptotics of the general solution to a linear singularly perturbed system of second-order differential equations with degeneracy |
| title_sort | asymptotics of the general solution to a linear singularly perturbed system of second-order differential equations with degeneracy |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5843 |
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