On harmonic functions satisfying nonlocal boundary conditions
We study functions that are harmonic on a strip and satisfy nonlocal boundary conditions, establish constraints that should be imposed on the coefficients in the boundary conditions to guarantee the uniqueness of nonnegative solutions, and present examples when the uniqueness theorems are not true.
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| Datum: | 1994 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1994
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5749 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511973693718528 |
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| author | Eydelman, S. D. Firdman, A. I. Эйдельман, С. Д. Фирдман, А. И. Эйдельман, С. Д. Фирдман, А. И. |
| author_facet | Eydelman, S. D. Firdman, A. I. Эйдельман, С. Д. Фирдман, А. И. Эйдельман, С. Д. Фирдман, А. И. |
| author_sort | Eydelman, S. D. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:16:47Z |
| description | We study functions that are harmonic on a strip and satisfy nonlocal boundary conditions, establish constraints that should be imposed on the coefficients in the boundary conditions to guarantee the uniqueness of nonnegative solutions, and present examples when the uniqueness theorems are not true. |
| first_indexed | 2026-03-24T03:21:24Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5749 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:21:24Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/11/0b60404c8247dc8e678b60219b186311.pdf |
| spelling | umjimathkievua-article-57492020-03-19T09:16:47Z On harmonic functions satisfying nonlocal boundary conditions О гармонических функциях, удовлетворяющих нелокальным граничным условиям Eydelman, S. D. Firdman, A. I. Эйдельман, С. Д. Фирдман, А. И. Эйдельман, С. Д. Фирдман, А. И. We study functions that are harmonic on a strip and satisfy nonlocal boundary conditions, establish constraints that should be imposed on the coefficients in the boundary conditions to guarantee the uniqueness of nonnegative solutions, and present examples when the uniqueness theorems are not true. Вивчаються гармонічні в смузі функції, які задовольняють нелокальні граничні умови. Знаходяться умови на коефіцієнти граничних умов, при яких справедлива теорема єдиності невід’ємних розв’язків. Наводяться приклади, коли такі теореми не справедливі. Institute of Mathematics, NAS of Ukraine 1994-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5749 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 4 (1994); 462–467 Український математичний журнал; Том 46 № 4 (1994); 462–467 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5749/8183 https://umj.imath.kiev.ua/index.php/umj/article/view/5749/8184 Copyright (c) 1994 Eydelman S. D.; Firdman A. I. |
| spellingShingle | Eydelman, S. D. Firdman, A. I. Эйдельман, С. Д. Фирдман, А. И. Эйдельман, С. Д. Фирдман, А. И. On harmonic functions satisfying nonlocal boundary conditions |
| title | On harmonic functions satisfying nonlocal boundary conditions |
| title_alt | О гармонических функциях, удовлетворяющих нелокальным граничным условиям |
| title_full | On harmonic functions satisfying nonlocal boundary conditions |
| title_fullStr | On harmonic functions satisfying nonlocal boundary conditions |
| title_full_unstemmed | On harmonic functions satisfying nonlocal boundary conditions |
| title_short | On harmonic functions satisfying nonlocal boundary conditions |
| title_sort | on harmonic functions satisfying nonlocal boundary conditions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5749 |
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