On the existence of an invariant manifold for weakly nonlinear matrix differential equations
For a system of nonlinear matrix differential equations with small parameter, we establish conditions of the existence of an invariant manifold in terms of the Green function.
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| Date: | 1996 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1996
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5340 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511561435578368 |
|---|---|
| author | Lipchan, V. V. Липчан, В. В. Липчан, В. В. |
| author_facet | Lipchan, V. V. Липчан, В. В. Липчан, В. В. |
| author_sort | Lipchan, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:30:31Z |
| description | For a system of nonlinear matrix differential equations with small parameter, we establish conditions of the existence of an invariant manifold in terms of the Green function. |
| first_indexed | 2026-03-24T03:14:51Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5340 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:14:51Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/bc/777e8266fdc08b6ad8c21f68d5b212bc.pdf |
| spelling | umjimathkievua-article-53402020-03-18T21:30:31Z On the existence of an invariant manifold for weakly nonlinear matrix differential equations О существовании инвариантного многообразия для слабонелинейных матричных дифференциальных уравнений Lipchan, V. V. Липчан, В. В. Липчан, В. В. For a system of nonlinear matrix differential equations with small parameter, we establish conditions of the existence of an invariant manifold in terms of the Green function. Для систем диференціальних матричних нелінійних рівнянь з малим параметром наведені умови існування інваріантного многовиду в термінах функції Гріна. Institute of Mathematics, NAS of Ukraine 1996-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5340 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 3 (1996); 422-424 Український математичний журнал; Том 48 № 3 (1996); 422-424 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5340/7371 https://umj.imath.kiev.ua/index.php/umj/article/view/5340/7372 Copyright (c) 1996 Lipchan V. V. |
| spellingShingle | Lipchan, V. V. Липчан, В. В. Липчан, В. В. On the existence of an invariant manifold for weakly nonlinear matrix differential equations |
| title | On the existence of an invariant manifold for weakly nonlinear matrix differential equations |
| title_alt | О существовании инвариантного многообразия для слабонелинейных матричных дифференциальных уравнений |
| title_full | On the existence of an invariant manifold for weakly nonlinear matrix differential equations |
| title_fullStr | On the existence of an invariant manifold for weakly nonlinear matrix differential equations |
| title_full_unstemmed | On the existence of an invariant manifold for weakly nonlinear matrix differential equations |
| title_short | On the existence of an invariant manifold for weakly nonlinear matrix differential equations |
| title_sort | on the existence of an invariant manifold for weakly nonlinear matrix differential equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5340 |
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