Well-Posed and Regular Nonlocal Boundary-Value Problems for Partial Differential Equations
The present paper deals with the well-posedness and regularity of one class of one-dimensional time-dependent boundary-value problems with global boundary conditions on the entire time interval. We establish conditions for the well-posedness of boundary-value problems for partial differential equati...
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| Datum: | 2002 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2002
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4152 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510286524448768 |
|---|---|
| author | Kengne, E. Кенне, Е. |
| author_facet | Kengne, E. Кенне, Е. |
| author_sort | Kengne, E. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:23:18Z |
| description | The present paper deals with the well-posedness and regularity of one class of one-dimensional time-dependent boundary-value problems with global boundary conditions on the entire time interval. We establish conditions for the well-posedness of boundary-value problems for partial differential equations in the class of bounded differentiable functions. A criterion for the regularity of the problem under consideration is also obtained. |
| first_indexed | 2026-03-24T02:54:35Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4152 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T02:54:35Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/6a/8de111c64ad2d4d6cac37fc0dfe0546a.pdf |
| spelling | umjimathkievua-article-41522020-03-18T20:23:18Z Well-Posed and Regular Nonlocal Boundary-Value Problems for Partial Differential Equations Коректні та регулярні нелокальні граничні задачі для рівнянь з частинними похідними Kengne, E. Кенне, Е. The present paper deals with the well-posedness and regularity of one class of one-dimensional time-dependent boundary-value problems with global boundary conditions on the entire time interval. We establish conditions for the well-posedness of boundary-value problems for partial differential equations in the class of bounded differentiable functions. A criterion for the regularity of the problem under consideration is also obtained. Розглядаються питання коректності та регулярності для одного класу нестаціонарних граничних задач із однією просторовою змінною та глобальними граничними умовами за часом. Встановлено умови коректності задачі в класі обмежених диференціповних функцій, а також умови її регулярності. Institute of Mathematics, NAS of Ukraine 2002-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4152 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 8 (2002); 1135-1142 Український математичний журнал; Том 54 № 8 (2002); 1135-1142 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/4152/5013 https://umj.imath.kiev.ua/index.php/umj/article/view/4152/5014 Copyright (c) 2002 Kengne E. |
| spellingShingle | Kengne, E. Кенне, Е. Well-Posed and Regular Nonlocal Boundary-Value Problems for Partial Differential Equations |
| title | Well-Posed and Regular Nonlocal Boundary-Value Problems for Partial Differential Equations |
| title_alt | Коректні та регулярні нелокальні граничні задачі для рівнянь з частинними похідними |
| title_full | Well-Posed and Regular Nonlocal Boundary-Value Problems for Partial Differential Equations |
| title_fullStr | Well-Posed and Regular Nonlocal Boundary-Value Problems for Partial Differential Equations |
| title_full_unstemmed | Well-Posed and Regular Nonlocal Boundary-Value Problems for Partial Differential Equations |
| title_short | Well-Posed and Regular Nonlocal Boundary-Value Problems for Partial Differential Equations |
| title_sort | well-posed and regular nonlocal boundary-value problems for partial differential equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4152 |
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