Green-Samoilenko function and existence of integral sets of linear extensions of nonautonomous equations
An integral invariant set is constructed for systems of differential equations by using the Green-Samoilenko function. The problem of asymptotic stability of this set is studied.
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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/5659 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511888290349056 |
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| author | Asrorov, F. A. Perestyuk, N. A. Асроров, Ф. А. Перестюк, Н. А. Асроров, Ф. А. Перестюк, Н. А. |
| author_facet | Asrorov, F. A. Perestyuk, N. A. Асроров, Ф. А. Перестюк, Н. А. Асроров, Ф. А. Перестюк, Н. А. |
| author_sort | Asrorov, F. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:15:19Z |
| description | An integral invariant set is constructed for systems of differential equations by using the Green-Samoilenko function. The problem of asymptotic stability of this set is studied. |
| first_indexed | 2026-03-24T03:20:03Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5659 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:20:03Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/1a/aaaf33fbc0fd9f6b0d756ae972bc4c1a.pdf |
| spelling | umjimathkievua-article-56592020-03-19T09:15:19Z Green-Samoilenko function and existence of integral sets of linear extensions of nonautonomous equations Функция Грина - Самойленко и существование интегральных множеств линейных расширений неавтономных уравнений Asrorov, F. A. Perestyuk, N. A. Асроров, Ф. А. Перестюк, Н. А. Асроров, Ф. А. Перестюк, Н. А. An integral invariant set is constructed for systems of differential equations by using the Green-Samoilenko function. The problem of asymptotic stability of this set is studied. Для систем диференціальних рівнянь побудована інтегральна інваріантна множина з використанням функції Гріна - Самойленка. Досліджується питання асимптотичної стійкості цієї множини. Institute of Mathematics, NAS of Ukraine 1994-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5659 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 8 (1994); 1067–1071 Український математичний журнал; Том 46 № 8 (1994); 1067–1071 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5659/8003 https://umj.imath.kiev.ua/index.php/umj/article/view/5659/8004 Copyright (c) 1994 Asrorov F. A.; Perestyuk N. A. |
| spellingShingle | Asrorov, F. A. Perestyuk, N. A. Асроров, Ф. А. Перестюк, Н. А. Асроров, Ф. А. Перестюк, Н. А. Green-Samoilenko function and existence of integral sets of linear extensions of nonautonomous equations |
| title | Green-Samoilenko function and existence of integral sets of linear extensions of nonautonomous equations |
| title_alt | Функция Грина - Самойленко и существование интегральных множеств линейных расширений неавтономных уравнений |
| title_full | Green-Samoilenko function and existence of integral sets of linear extensions of nonautonomous equations |
| title_fullStr | Green-Samoilenko function and existence of integral sets of linear extensions of nonautonomous equations |
| title_full_unstemmed | Green-Samoilenko function and existence of integral sets of linear extensions of nonautonomous equations |
| title_short | Green-Samoilenko function and existence of integral sets of linear extensions of nonautonomous equations |
| title_sort | green-samoilenko function and existence of integral sets of linear extensions of nonautonomous equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5659 |
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