On the structure of solutions of a system of singularly perturbed differential equations with nondiagonalizable limit operator
We construct uniform asymptotics of a solution of a heterogeneous system of singularly perturbed differential equations in the case of nondiagonalizable limit operator. We consider the case where the spectrum of the limit operator contains an unstable element at the point x = 0.
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| Datum: | 1998 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1998
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4867 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511045803573248 |
|---|---|
| author | Bobochko, V. N. Бобочко, В. H. Бобочко, В. H. |
| author_facet | Bobochko, V. N. Бобочко, В. H. Бобочко, В. H. |
| author_sort | Bobochko, V. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:16:14Z |
| description | We construct uniform asymptotics of a solution of a heterogeneous system of singularly perturbed differential equations in the case of nondiagonalizable limit operator. We consider the case where the spectrum of the limit operator contains an unstable element at the point x = 0. |
| first_indexed | 2026-03-24T03:06:39Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4867 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:06:39Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/4d/47a742c8c20522274e86014d66fff04d.pdf |
| spelling | umjimathkievua-article-48672020-03-18T21:16:14Z On the structure of solutions of a system of singularly perturbed differential equations with nondiagonalizable limit operator О структуре решения системы сингулярно возмущенных дифференциальных уравнений с недиагонализируемым предельным оператором Bobochko, V. N. Бобочко, В. H. Бобочко, В. H. We construct uniform asymptotics of a solution of a heterogeneous system of singularly perturbed differential equations in the case of nondiagonalizable limit operator. We consider the case where the spectrum of the limit operator contains an unstable element at the point x = 0. Побудовано рівномірну асимптотику розв'язку неоднорідної системи сингулярно збурених диференціальних рівнянь у випадку, коли граничний оператор ие можна діаі опалізуваї и. Досліджується випадок, коли спектр граничного оператора містить нестабільний елемент у точці $х = 0$. Institute of Mathematics, NAS of Ukraine 1998-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4867 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 7 (1998); 867–876 Український математичний журнал; Том 50 № 7 (1998); 867–876 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4867/6433 https://umj.imath.kiev.ua/index.php/umj/article/view/4867/6434 Copyright (c) 1998 Bobochko V. N. |
| spellingShingle | Bobochko, V. N. Бобочко, В. H. Бобочко, В. H. On the structure of solutions of a system of singularly perturbed differential equations with nondiagonalizable limit operator |
| title | On the structure of solutions of a system of singularly perturbed differential equations with nondiagonalizable limit operator |
| title_alt | О структуре решения системы сингулярно возмущенных дифференциальных уравнений с недиагонализируемым предельным оператором |
| title_full | On the structure of solutions of a system of singularly perturbed differential equations with nondiagonalizable limit operator |
| title_fullStr | On the structure of solutions of a system of singularly perturbed differential equations with nondiagonalizable limit operator |
| title_full_unstemmed | On the structure of solutions of a system of singularly perturbed differential equations with nondiagonalizable limit operator |
| title_short | On the structure of solutions of a system of singularly perturbed differential equations with nondiagonalizable limit operator |
| title_sort | on the structure of solutions of a system of singularly perturbed differential equations with nondiagonalizable limit operator |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4867 |
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