A problem with formal initial conditions for differential equations with constant pseudodifferential coefficients
We establish conditions for the unique existence of a solution of a problem with formal initial conditions. We investigate the problem of its solvability in the case where a solution is not unique.
Збережено в:
| Дата: | 1998 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Українська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1998
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4868 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511044873486336 |
|---|---|
| author | Il'kiv, V. S. Ільків, В. С. |
| author_facet | Il'kiv, V. S. Ільків, В. С. |
| author_sort | Il'kiv, V. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:16:14Z |
| description | We establish conditions for the unique existence of a solution of a problem with formal initial conditions. We investigate the problem of its solvability in the case where a solution is not unique. |
| first_indexed | 2026-03-24T03:06:38Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4868 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:06:38Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/b3/c78d2d2e4b1c4ebcd318a2f6a31182b3.pdf |
| spelling | umjimathkievua-article-48682020-03-18T21:16:14Z A problem with formal initial conditions for differential equations with constant pseudodifferential coefficients Задача з формальними початковими умовами для диференціальних рівнянь зі сталими псевдодиференціальними коефіцієнтами Il'kiv, V. S. Ільків, В. С. We establish conditions for the unique existence of a solution of a problem with formal initial conditions. We investigate the problem of its solvability in the case where a solution is not unique. Встановлено умови існування та єдиності розв'язку задачі з формальними початковими умовами. Досліджено розв'язність задачі у випадку неєдиності розв'язку. Institute of Mathematics, NAS of Ukraine 1998-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4868 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 7 (1998); 877–888 Український математичний журнал; Том 50 № 7 (1998); 877–888 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4868/6435 https://umj.imath.kiev.ua/index.php/umj/article/view/4868/6436 Copyright (c) 1998 Il'kiv V. S. |
| spellingShingle | Il'kiv, V. S. Ільків, В. С. A problem with formal initial conditions for differential equations with constant pseudodifferential coefficients |
| title | A problem with formal initial conditions for differential equations with constant pseudodifferential coefficients |
| title_alt | Задача з формальними початковими умовами для диференціальних рівнянь зі сталими псевдодиференціальними коефіцієнтами |
| title_full | A problem with formal initial conditions for differential equations with constant pseudodifferential coefficients |
| title_fullStr | A problem with formal initial conditions for differential equations with constant pseudodifferential coefficients |
| title_full_unstemmed | A problem with formal initial conditions for differential equations with constant pseudodifferential coefficients |
| title_short | A problem with formal initial conditions for differential equations with constant pseudodifferential coefficients |
| title_sort | problem with formal initial conditions for differential equations with constant pseudodifferential coefficients |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4868 |
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