Smoothness of generalized solutions of the third boundary-value problem for an elliptic differential-difference equation
Unlike the case of elliptic differential equations, generalized solutions of elliptic differential-difference equations may be nonsmooth on an entire domain $Q$, only preserving smoothness on certain subdomains $Q_r \subset Q$. The conditions are considered under which the generalized solutions of t...
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| Date: | 1993 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
1993
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5911 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512130045837312 |
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| author | Tsvetkov, E. L. Цветков, Е. Л. Цветков, Е. Л. |
| author_facet | Tsvetkov, E. L. Цветков, Е. Л. Цветков, Е. Л. |
| author_sort | Tsvetkov, E. L. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:20:26Z |
| description | Unlike the case of elliptic differential equations, generalized solutions of elliptic differential-difference equations may be nonsmooth on an entire domain $Q$, only preserving smoothness on certain subdomains $Q_r \subset Q$. The conditions are considered under which the generalized solutions of the third boundary-value problem remain smooth on the boundaries of the neighboring subdomains $Q_r$. |
| first_indexed | 2026-03-24T03:23:53Z |
| format | Article |
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| id | umjimathkievua-article-5911 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:23:53Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/6c/710712732a71f411f49de7c6c80acc6c.pdf |
| spelling | umjimathkievua-article-59112020-03-19T09:20:26Z Smoothness of generalized solutions of the third boundary-value problem for an elliptic differential-difference equation О гладкости обобщенных решений третьей краевой задачи для эллиптического дифференциально-разностного уравнения Tsvetkov, E. L. Цветков, Е. Л. Цветков, Е. Л. Unlike the case of elliptic differential equations, generalized solutions of elliptic differential-difference equations may be nonsmooth on an entire domain $Q$, only preserving smoothness on certain subdomains $Q_r \subset Q$. The conditions are considered under which the generalized solutions of the third boundary-value problem remain smooth on the boundaries of the neighboring subdomains $Q_r$. На відміну від еліптичних диференціальних рівнянь гладкість узагальнених розв’язків еліптичних диференціально-різницевих рівнянь може порушуватися в ділянці $Q$ і зберігатися лише в деяких підділянках $Q_r \subset Q$. Розглядаються умови збереження гладкості узагальнених розв’язків третьої крайової задачі на межі суміжних підділянок $Q_r$. Institute of Mathematics, NAS of Ukraine 1993-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5911 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 8 (1993); 1140–1150 Український математичний журнал; Том 45 № 8 (1993); 1140–1150 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5911/8505 https://umj.imath.kiev.ua/index.php/umj/article/view/5911/8506 Copyright (c) 1993 Tsvetkov E. L. |
| spellingShingle | Tsvetkov, E. L. Цветков, Е. Л. Цветков, Е. Л. Smoothness of generalized solutions of the third boundary-value problem for an elliptic differential-difference equation |
| title | Smoothness of generalized solutions of the third boundary-value problem for an elliptic differential-difference equation |
| title_alt | О гладкости обобщенных решений третьей краевой задачи для эллиптического дифференциально-разностного уравнения |
| title_full | Smoothness of generalized solutions of the third boundary-value problem for an elliptic differential-difference equation |
| title_fullStr | Smoothness of generalized solutions of the third boundary-value problem for an elliptic differential-difference equation |
| title_full_unstemmed | Smoothness of generalized solutions of the third boundary-value problem for an elliptic differential-difference equation |
| title_short | Smoothness of generalized solutions of the third boundary-value problem for an elliptic differential-difference equation |
| title_sort | smoothness of generalized solutions of the third boundary-value problem for an elliptic differential-difference equation |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5911 |
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