Classification of nonlocal boundary-value problems on a narrow strip
For a general linear partial differential equation with constant coefficients, we establish a well-posedness criterion for a boundary-value problem on a strip $Π_y = ℝ × [0,Y]$ with an integral in a boundary condition. A complete classification of such problems based on their asymptotic properties a...
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| Дата: | 1994 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1994
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5730 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511954701910016 |
|---|---|
| author | Borok, V. M. Kengne, E. Борок, В. М. Кенне, Э. Борок, В. М. Кенне, Э. |
| author_facet | Borok, V. M. Kengne, E. Борок, В. М. Кенне, Э. Борок, В. М. Кенне, Э. |
| author_sort | Borok, V. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:16:47Z |
| description | For a general linear partial differential equation with constant coefficients, we establish a well-posedness criterion for a boundary-value problem on a strip $Π_y = ℝ × [0,Y]$ with an integral in a boundary condition. A complete classification of such problems based on their asymptotic properties as $Y → 0$ is obtained. |
| first_indexed | 2026-03-24T03:21:06Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5730 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:21:06Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/59/c3ceb54c892a257894e79cc9fc677059.pdf |
| spelling | umjimathkievua-article-57302020-03-19T09:16:47Z Classification of nonlocal boundary-value problems on a narrow strip Классификация нелокальных краевых задач в узкой полосе Borok, V. M. Kengne, E. Борок, В. М. Кенне, Э. Борок, В. М. Кенне, Э. For a general linear partial differential equation with constant coefficients, we establish a well-posedness criterion for a boundary-value problem on a strip $Π_y = ℝ × [0,Y]$ with an integral in a boundary condition. A complete classification of such problems based on their asymptotic properties as $Y → 0$ is obtained. Для загального лінійного рівняння з частинними*похідними зі сталими коефіцієнтами встановлено критерій коректності крайової задачі у смузі $Π_y = ℝ × [0,Y]$ з інтегралом у граничній умові. Одержана повна класифікація цих задач відносно їх асимптотичних властивостей при $Y → 0$. Institute of Mathematics, NAS of Ukraine 1994-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5730 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 4 (1994); 338–346 Український математичний журнал; Том 46 № 4 (1994); 338–346 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5730/8145 https://umj.imath.kiev.ua/index.php/umj/article/view/5730/8146 Copyright (c) 1994 Borok V. M.; Kengne E. |
| spellingShingle | Borok, V. M. Kengne, E. Борок, В. М. Кенне, Э. Борок, В. М. Кенне, Э. Classification of nonlocal boundary-value problems on a narrow strip |
| title | Classification of nonlocal boundary-value problems on a narrow strip |
| title_alt | Классификация нелокальных краевых задач в узкой полосе |
| title_full | Classification of nonlocal boundary-value problems on a narrow strip |
| title_fullStr | Classification of nonlocal boundary-value problems on a narrow strip |
| title_full_unstemmed | Classification of nonlocal boundary-value problems on a narrow strip |
| title_short | Classification of nonlocal boundary-value problems on a narrow strip |
| title_sort | classification of nonlocal boundary-value problems on a narrow strip |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5730 |
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