On the expansion of solutions to differential equations with discontinuous right-hand side in a series in initial data and parameters
The conditions under which the solutions of equations with discontinuous right-hand sides depend on the initial data and parameters analytically are investigated. A definition is introduced, which specifies this dependence in the case where a surface of discontinuity exists.
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| Date: | 1993 |
|---|---|
| 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/5858 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865793113760464896 |
|---|---|
| author | Akhmetov, M. U. Ахметов, М. У. Ахметов, М. У. |
| author_facet | Akhmetov, M. U. Ахметов, М. У. Ахметов, М. У. |
| author_institution_txt_mv | [
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"author": "М. У. Ахметов",
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| author_sort | Akhmetov, M. U. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:19:18Z |
| description | The conditions under which the solutions of equations with discontinuous right-hand sides depend on the initial data and parameters analytically are investigated. A definition is introduced, which specifies this dependence in the case where a surface of discontinuity exists. |
| first_indexed | 2026-03-24T03:23:03Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5858 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:23:03Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/fd/8b65e272e67d42a8657ee1507e439afd.pdf |
| spelling | umjimathkievua-article-58582020-03-19T09:19:18Z On the expansion of solutions to differential equations with discontinuous right-hand side in a series in initial data and parameters О разложении в ряд по начальным значениям и параметрам решений дифференциальных уравнений с разрывной правой частью Akhmetov, M. U. Ахметов, М. У. Ахметов, М. У. The conditions under which the solutions of equations with discontinuous right-hand sides depend on the initial data and parameters analytically are investigated. A definition is introduced, which specifies this dependence in the case where a surface of discontinuity exists. Досліджую і вся умови, за яких розв’язки рівнянь з розривною правою частиною аналітично залежать від початкових значень і параметрів. Вводиться означення, яке уточнює цю залежність в зв’язку з існуванням поверхні розриву. Institute of Mathematics, NAS of Ukraine 1993-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5858 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 5 (1993); 715–717 Український математичний журнал; Том 45 № 5 (1993); 715–717 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5858/8399 https://umj.imath.kiev.ua/index.php/umj/article/view/5858/8400 Copyright (c) 1993 Akhmetov M. U. |
| spellingShingle | Akhmetov, M. U. Ахметов, М. У. Ахметов, М. У. On the expansion of solutions to differential equations with discontinuous right-hand side in a series in initial data and parameters |
| title | On the expansion of solutions to differential equations with discontinuous right-hand side in a series in initial data and parameters |
| title_alt | О разложении в ряд по начальным значениям и параметрам решений дифференциальных уравнений с разрывной правой частью |
| title_full | On the expansion of solutions to differential equations with discontinuous right-hand side in a series in initial data and parameters |
| title_fullStr | On the expansion of solutions to differential equations with discontinuous right-hand side in a series in initial data and parameters |
| title_full_unstemmed | On the expansion of solutions to differential equations with discontinuous right-hand side in a series in initial data and parameters |
| title_short | On the expansion of solutions to differential equations with discontinuous right-hand side in a series in initial data and parameters |
| title_sort | on the expansion of solutions to differential equations with discontinuous right-hand side in a series in initial data and parameters |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5858 |
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