Global Attractor for a Nonautonomous Inclusion with Discontinuous Right-Hand Side
We consider a nonautonomous inclusion the upper and lower selectors of whose right-hand side are determined by functions with discontinuities of the first kind. We prove that this problem generates a family of multivalued semiprocesses for which there exists a global attractor compact in the phase s...
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| Дата: | 2003 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Українська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2003
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4017 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510149639143424 |
|---|---|
| author | Kapustyan, O. V. Kasyanov, P. O. Капустян, О. В. Касьянов, П. О. |
| author_facet | Kapustyan, O. V. Kasyanov, P. O. Капустян, О. В. Касьянов, П. О. |
| author_sort | Kapustyan, O. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:18:28Z |
| description | We consider a nonautonomous inclusion the upper and lower selectors of whose right-hand side are determined by functions with discontinuities of the first kind. We prove that this problem generates a family of multivalued semiprocesses for which there exists a global attractor compact in the phase space. |
| first_indexed | 2026-03-24T02:52:25Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4017 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:52:25Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/6c/4665ccd6b54fe333ab0add00a8fad56c.pdf |
| spelling | umjimathkievua-article-40172020-03-18T20:18:28Z Global Attractor for a Nonautonomous Inclusion with Discontinuous Right-Hand Side Глобальний атрактор неавтономного включения з розривною правою частиною Kapustyan, O. V. Kasyanov, P. O. Капустян, О. В. Касьянов, П. О. We consider a nonautonomous inclusion the upper and lower selectors of whose right-hand side are determined by functions with discontinuities of the first kind. We prove that this problem generates a family of multivalued semiprocesses for which there exists a global attractor compact in the phase space. Розглянуто неавтономне включения з правою частиною, що має в якості нижнього і верхнього селекторі]! функції з розривами першого роду. Доведено, що така задача породжує сім'ю багатозначних папівпродесів, для якої існує компактний у фазовому просторі глобальний атрактор. Institute of Mathematics, NAS of Ukraine 2003-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4017 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 11 (2003); 1467-1475 Український математичний журнал; Том 55 № 11 (2003); 1467-1475 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4017/4745 https://umj.imath.kiev.ua/index.php/umj/article/view/4017/4746 Copyright (c) 2003 Kapustyan O. V.; Kasyanov P. O. |
| spellingShingle | Kapustyan, O. V. Kasyanov, P. O. Капустян, О. В. Касьянов, П. О. Global Attractor for a Nonautonomous Inclusion with Discontinuous Right-Hand Side |
| title | Global Attractor for a Nonautonomous Inclusion with Discontinuous Right-Hand Side |
| title_alt | Глобальний атрактор неавтономного включения
з розривною правою частиною |
| title_full | Global Attractor for a Nonautonomous Inclusion with Discontinuous Right-Hand Side |
| title_fullStr | Global Attractor for a Nonautonomous Inclusion with Discontinuous Right-Hand Side |
| title_full_unstemmed | Global Attractor for a Nonautonomous Inclusion with Discontinuous Right-Hand Side |
| title_short | Global Attractor for a Nonautonomous Inclusion with Discontinuous Right-Hand Side |
| title_sort | global attractor for a nonautonomous inclusion with discontinuous right-hand side |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4017 |
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