Nonlocal boundary-value problem for parabolic equations
We study the problem for Shilov parabolic equations of arbitrary order with constant coefficients with conditions nonlocal in time and periodic in space variables. We establish conditions for the existence and uniqueness of a classical solution of the problem and prove metric theorems on lower bound...
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| Date: | 1994 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1994
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5573 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511804934848512 |
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| author | Zadorozhna, N. M. Mel'nyk, O. M. Ptashnik, B. I. Задорожна, П. М. Мельник, О. М. Пташник, Б. Й. |
| author_facet | Zadorozhna, N. M. Mel'nyk, O. M. Ptashnik, B. I. Задорожна, П. М. Мельник, О. М. Пташник, Б. Й. |
| author_sort | Zadorozhna, N. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:13:51Z |
| description | We study the problem for Shilov parabolic equations of arbitrary order with constant coefficients with conditions nonlocal in time and periodic in space variables. We establish conditions for the existence and uniqueness of a classical solution of the problem and prove metric theorems on lower bounds of small denominators appearing in the construction of a solution of the problem. |
| first_indexed | 2026-03-24T03:18:43Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5573 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:18:43Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/23/6fc7cd8e2f3591d8ede8ddbdfb406523.pdf |
| spelling | umjimathkievua-article-55732020-03-19T09:13:51Z Nonlocal boundary-value problem for parabolic equations Нелокальна крайова задача для параболічних рівнянь Zadorozhna, N. M. Mel'nyk, O. M. Ptashnik, B. I. Задорожна, П. М. Мельник, О. М. Пташник, Б. Й. We study the problem for Shilov parabolic equations of arbitrary order with constant coefficients with conditions nonlocal in time and periodic in space variables. We establish conditions for the existence and uniqueness of a classical solution of the problem and prove metric theorems on lower bounds of small denominators appearing in the construction of a solution of the problem. Досліджена задача з нелокальними умовами за часовою змінною та умовами періодичності за просторовими координатами для параболічних за Г. Є. Шиловим рівнянь довільного порядку зі сталими коефіцієнтами. Встановлено умови існування та єдиності класичного розв’язку задачі. Доведено метричні теореми про оцінки знизу малих знаменників, які виникають при побудові розв’язку задачі. Institute of Mathematics, NAS of Ukraine 1994-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5573 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 12 (1994); 1621–1626 Український математичний журнал; Том 46 № 12 (1994); 1621–1626 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5573/7832 https://umj.imath.kiev.ua/index.php/umj/article/view/5573/7833 Copyright (c) 1994 Zadorozhna N. M.; Mel'nyk O. M.; Ptashnik B. I. |
| spellingShingle | Zadorozhna, N. M. Mel'nyk, O. M. Ptashnik, B. I. Задорожна, П. М. Мельник, О. М. Пташник, Б. Й. Nonlocal boundary-value problem for parabolic equations |
| title | Nonlocal boundary-value problem for parabolic equations |
| title_alt | Нелокальна крайова задача для параболічних рівнянь |
| title_full | Nonlocal boundary-value problem for parabolic equations |
| title_fullStr | Nonlocal boundary-value problem for parabolic equations |
| title_full_unstemmed | Nonlocal boundary-value problem for parabolic equations |
| title_short | Nonlocal boundary-value problem for parabolic equations |
| title_sort | nonlocal boundary-value problem for parabolic equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5573 |
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