On the Solution of a Singular Cauchy Problem for a First-Order Differential Equation Unsolved with Respect to the Derivative of an Unknown Function
For a first-order ordinary differential equation, we establish conditions under which a singular Cauchy problem has a unique continuously differentiable solution with required asymptotic behavior.
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| Дата: | 2001 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2001
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4243 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510375482490880 |
|---|---|
| author | Zernov, A. E. Зернов, А. Е. Зернов, А. Е. |
| author_facet | Zernov, A. E. Зернов, А. Е. Зернов, А. Е. |
| author_sort | Zernov, A. E. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:25:08Z |
| description | For a first-order ordinary differential equation, we establish conditions under which a singular Cauchy problem has a unique continuously differentiable solution with required asymptotic behavior. |
| first_indexed | 2026-03-24T02:56:00Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4243 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:56:00Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/1f/8f59c7ee7c7313834ec4c627c2a5531f.pdf |
| spelling | umjimathkievua-article-42432020-03-18T20:25:08Z On the Solution of a Singular Cauchy Problem for a First-Order Differential Equation Unsolved with Respect to the Derivative of an Unknown Function Решение сингулярной задачи Коши для дифференциального уравнения первого порядка, не разрешенного относительно производной неизвестной функции Zernov, A. E. Зернов, А. Е. Зернов, А. Е. For a first-order ordinary differential equation, we establish conditions under which a singular Cauchy problem has a unique continuously differentiable solution with required asymptotic behavior. Для деякого звичайного диференціального рівняння першого порядку знайдено умови, за яких сингулярна задача Коші має єдиний неперервно дифереиційовпий розв'язок з потрібною асимптотичною поведінкою. Institute of Mathematics, NAS of Ukraine 2001-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4243 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 2 (2001); 258-262 Український математичний журнал; Том 53 № 2 (2001); 258-262 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4243/5190 https://umj.imath.kiev.ua/index.php/umj/article/view/4243/5191 Copyright (c) 2001 Zernov A. E. |
| spellingShingle | Zernov, A. E. Зернов, А. Е. Зернов, А. Е. On the Solution of a Singular Cauchy Problem for a First-Order Differential Equation Unsolved with Respect to the Derivative of an Unknown Function |
| title | On the Solution of a Singular Cauchy Problem for a First-Order Differential Equation Unsolved with Respect to the Derivative of an Unknown Function |
| title_alt | Решение сингулярной задачи Коши для дифференциального уравнения
первого порядка, не разрешенного относительно производной неизвестной функции |
| title_full | On the Solution of a Singular Cauchy Problem for a First-Order Differential Equation Unsolved with Respect to the Derivative of an Unknown Function |
| title_fullStr | On the Solution of a Singular Cauchy Problem for a First-Order Differential Equation Unsolved with Respect to the Derivative of an Unknown Function |
| title_full_unstemmed | On the Solution of a Singular Cauchy Problem for a First-Order Differential Equation Unsolved with Respect to the Derivative of an Unknown Function |
| title_short | On the Solution of a Singular Cauchy Problem for a First-Order Differential Equation Unsolved with Respect to the Derivative of an Unknown Function |
| title_sort | on the solution of a singular cauchy problem for a first-order differential equation unsolved with respect to the derivative of an unknown function |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4243 |
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