On continuous dependence of solutions of linear differential equations on a parameter in a Banach space
We prove the reduction theorem for linear differential equations in a Banach space in the case where the convergence is strong. This result is used to obtain the necessary and sufficient conditions for continuous dependence of solutions on a parameter.
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| Date: | 1999 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1999
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4610 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510758591266816 |
|---|---|
| author | Nguen, Tkhe Khoan Fam, Ngok Boi Нгуен, Тхе Хоан Фам, Нгок Бой Нгуен, Тхе Хоан Фам, Нгок Бой |
| author_facet | Nguen, Tkhe Khoan Fam, Ngok Boi Нгуен, Тхе Хоан Фам, Нгок Бой Нгуен, Тхе Хоан Фам, Нгок Бой |
| author_sort | Nguen, Tkhe Khoan |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:09:38Z |
| description | We prove the reduction theorem for linear differential equations in a Banach space in the case where the convergence is strong. This result is used to obtain the necessary and sufficient conditions for continuous dependence of solutions on a parameter. |
| first_indexed | 2026-03-24T03:02:05Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4610 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:02:05Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/22/f4b7d892136e8c5ce75354786d8f9f22.pdf |
| spelling | umjimathkievua-article-46102020-03-18T21:09:38Z On continuous dependence of solutions of linear differential equations on a parameter in a Banach space О непрерывной зависимости от параметра решений линейных дифференциальных уравнений в банаховом пространстве Nguen, Tkhe Khoan Fam, Ngok Boi Нгуен, Тхе Хоан Фам, Нгок Бой Нгуен, Тхе Хоан Фам, Нгок Бой We prove the reduction theorem for linear differential equations in a Banach space in the case where the convergence is strong. This result is used to obtain the necessary and sufficient conditions for continuous dependence of solutions on a parameter. Доведено теореми про інтегральні зображення адитивної групи дійсного ядерного простору самоспряженими операторами. Припускається, що алгебраїчні співвідношення мають місце на щільній, інваріантній множині цілих векторів. Institute of Mathematics, NAS of Ukraine 1999-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4610 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 2 (1999); 275–280 Український математичний журнал; Том 51 № 2 (1999); 275–280 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4610/5923 https://umj.imath.kiev.ua/index.php/umj/article/view/4610/5924 Copyright (c) 1999 Nguen Tkhe Khoan; Fam Ngok Boi |
| spellingShingle | Nguen, Tkhe Khoan Fam, Ngok Boi Нгуен, Тхе Хоан Фам, Нгок Бой Нгуен, Тхе Хоан Фам, Нгок Бой On continuous dependence of solutions of linear differential equations on a parameter in a Banach space |
| title | On continuous dependence of solutions of linear differential equations on a parameter in a Banach space |
| title_alt | О непрерывной зависимости от параметра решений линейных дифференциальных уравнений в банаховом пространстве |
| title_full | On continuous dependence of solutions of linear differential equations on a parameter in a Banach space |
| title_fullStr | On continuous dependence of solutions of linear differential equations on a parameter in a Banach space |
| title_full_unstemmed | On continuous dependence of solutions of linear differential equations on a parameter in a Banach space |
| title_short | On continuous dependence of solutions of linear differential equations on a parameter in a Banach space |
| title_sort | on continuous dependence of solutions of linear differential equations on a parameter in a banach space |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4610 |
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