On the smoothness of solutions of differential equations with a discontinuous right-hand side
A method for the investigation of differential equations with a nonclassical right-hand side [1] is applied to the study of the higher-order differentiability of solutions of differential equations with discontinuous right-hand sides with respect to the initial data. We use results from the theory o...
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| Date: | 1993 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1993
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5965 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512188263825408 |
|---|---|
| author | Akhmetov, M. U. Ахметов, М. У. Ахметов, М. У. |
| author_facet | Akhmetov, M. U. Ахметов, М. У. Ахметов, М. У. |
| author_sort | Akhmetov, M. U. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:22:20Z |
| description | A method for the investigation of differential equations with a nonclassical right-hand side [1] is applied to the study of the higher-order differentiability of solutions of differential equations with discontinuous right-hand sides with respect to the initial data. We use results from the theory of differential equations with pulse influence [2]. |
| first_indexed | 2026-03-24T03:24:49Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5965 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:24:49Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/54/e4fb0d7cb1cac5afe4549cd16d079154.pdf |
| spelling | umjimathkievua-article-59652020-03-19T09:22:20Z On the smoothness of solutions of differential equations with a discontinuous right-hand side О гладкости решений дифференциальных уравнений с разрывной правой частью Akhmetov, M. U. Ахметов, М. У. Ахметов, М. У. A method for the investigation of differential equations with a nonclassical right-hand side [1] is applied to the study of the higher-order differentiability of solutions of differential equations with discontinuous right-hand sides with respect to the initial data. We use results from the theory of differential equations with pulse influence [2]. Для вивчення питання про диференційовну залежність вищого порядку розв’язків систем диференціальних рівнянь з розривною правою частиною від початкових даних застосовується метод дослідження диференціальних рівнянь з некласичною правою частиною. Institute of Mathematics, NAS of Ukraine 1993-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5965 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 12 (1993); 1587–1594 Український математичний журнал; Том 45 № 12 (1993); 1587–1594 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5965/8613 https://umj.imath.kiev.ua/index.php/umj/article/view/5965/8614 Copyright (c) 1993 Akhmetov M. U. |
| spellingShingle | Akhmetov, M. U. Ахметов, М. У. Ахметов, М. У. On the smoothness of solutions of differential equations with a discontinuous right-hand side |
| title | On the smoothness of solutions of differential equations with a discontinuous right-hand side |
| title_alt | О гладкости решений дифференциальных уравнений с разрывной правой частью |
| title_full | On the smoothness of solutions of differential equations with a discontinuous right-hand side |
| title_fullStr | On the smoothness of solutions of differential equations with a discontinuous right-hand side |
| title_full_unstemmed | On the smoothness of solutions of differential equations with a discontinuous right-hand side |
| title_short | On the smoothness of solutions of differential equations with a discontinuous right-hand side |
| title_sort | on the smoothness of solutions of differential equations with a discontinuous right-hand side |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5965 |
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