Kostin-type criterion for abstract linear differential equations of arbitrary order in banach spaces
We consider linear differential equations with operator coefficients in a Banach space. We construct necessary and sufficient conditions for the well-posedness of the Cauchy problem for these equations of arbitrary order that are analogous to the Kostin conditions for incomplete equations of the sec...
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| Date: | 2010 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
2010
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2918 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860508914739576832 |
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| author | Horbatenko, Ya. V. Горбатенко, Я. В. |
| author_facet | Horbatenko, Ya. V. Горбатенко, Я. В. |
| author_sort | Horbatenko, Ya. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T19:40:12Z |
| description | We consider linear differential equations with operator coefficients in a Banach space. We construct necessary and sufficient conditions for the well-posedness of the Cauchy problem for these equations of arbitrary order that are analogous to the Kostin conditions for incomplete equations of the second order. |
| first_indexed | 2026-03-24T02:32:47Z |
| format | Article |
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| id | umjimathkievua-article-2918 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:32:47Z |
| publishDate | 2010 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/5e/15612de691864b6d105a706ac758595e.pdf |
| spelling | umjimathkievua-article-29182020-03-18T19:40:12Z Kostin-type criterion for abstract linear differential equations of arbitrary order in banach spaces Критерій типу Коетіпа для абстрактних лінійних диференціальних рівнянь довільного порядку в банахових просторах Horbatenko, Ya. V. Горбатенко, Я. В. We consider linear differential equations with operator coefficients in a Banach space. We construct necessary and sufficient conditions for the well-posedness of the Cauchy problem for these equations of arbitrary order that are analogous to the Kostin conditions for incomplete equations of the second order. Рассматриваются линейные дифференциальные уравнения с операторными коэффициентами в банаховом пространстве. Построены необходимые и достаточные условия корректности задачи Коши для таких уравнений произвольного порядка, аналогичные условиям Костина для неполных уравнений второго порядка. Institute of Mathematics, NAS of Ukraine 2010-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/2918 Ukrains’kyi Matematychnyi Zhurnal; Vol. 62 No. 6 (2010); 860 – 864 Український математичний журнал; Том 62 № 6 (2010); 860 – 864 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/2918/2587 https://umj.imath.kiev.ua/index.php/umj/article/view/2918/2588 Copyright (c) 2010 Horbatenko Ya. V. |
| spellingShingle | Horbatenko, Ya. V. Горбатенко, Я. В. Kostin-type criterion for abstract linear differential equations of arbitrary order in banach spaces |
| title | Kostin-type criterion for abstract linear differential equations of arbitrary order in banach spaces |
| title_alt | Критерій типу Коетіпа для абстрактних лінійних диференціальних рівнянь довільного порядку в банахових просторах |
| title_full | Kostin-type criterion for abstract linear differential equations of arbitrary order in banach spaces |
| title_fullStr | Kostin-type criterion for abstract linear differential equations of arbitrary order in banach spaces |
| title_full_unstemmed | Kostin-type criterion for abstract linear differential equations of arbitrary order in banach spaces |
| title_short | Kostin-type criterion for abstract linear differential equations of arbitrary order in banach spaces |
| title_sort | kostin-type criterion for abstract linear differential equations of arbitrary order in banach spaces |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/2918 |
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