On the limit polynomial for a solution of an elliptic equation of the fourth order with constant coefficients
We show that a solution of the Dirichlet problem for an elliptic equation of the fourth order with constant coefficients, whose right-hand side is periodic in all variables except one and exponentially decreases, converges at infinity to a certain polynomial of the first degree in the nonperiodic va...
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| Datum: | 1998 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1998
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4946 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511129355157504 |
|---|---|
| author | Foiad, Sobhi Obaid Фоиад, Собхи Обаид Фоиад, Собхи Обаид |
| author_facet | Foiad, Sobhi Obaid Фоиад, Собхи Обаид Фоиад, Собхи Обаид |
| author_sort | Foiad, Sobhi Obaid |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:17:35Z |
| description | We show that a solution of the Dirichlet problem for an elliptic equation of the fourth order with constant coefficients, whose right-hand side is periodic in all variables except one and exponentially decreases, converges at infinity to a certain polynomial of the first degree in the nonperiodic variable. Coefficients of this polynomial are determined. |
| first_indexed | 2026-03-24T03:07:59Z |
| format | Article |
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| id | umjimathkievua-article-4946 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:07:59Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/b4/13704982d746e6d3bfe616ab05c266b4.pdf |
| spelling | umjimathkievua-article-49462020-03-18T21:17:35Z On the limit polynomial for a solution of an elliptic equation of the fourth order with constant coefficients О предельном полиноме для решения эллиптического уравнения четвертого порядка с постоянными коэффициентами Foiad, Sobhi Obaid Фоиад, Собхи Обаид Фоиад, Собхи Обаид We show that a solution of the Dirichlet problem for an elliptic equation of the fourth order with constant coefficients, whose right-hand side is periodic in all variables except one and exponentially decreases, converges at infinity to a certain polynomial of the first degree in the nonperiodic variable. Coefficients of this polynomial are determined. Показано, що розв'язок задачі Діріхле для еліптичного рівняння четвертого порядку з постійними коефіцієнтами з періодичними за всіма змінними, крім однієї, експоненціально спадаючими правими частинами збігається на нескінченності до деякого полінома першого степеня за неперіодичною змінною. Знайдені коефіцієнти цього полінома. Institute of Mathematics, NAS of Ukraine 1998-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4946 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 3 (1998); 437–444 Український математичний журнал; Том 50 № 3 (1998); 437–444 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4946/6591 https://umj.imath.kiev.ua/index.php/umj/article/view/4946/6592 Copyright (c) 1998 Foiad Sobhi Obaid |
| spellingShingle | Foiad, Sobhi Obaid Фоиад, Собхи Обаид Фоиад, Собхи Обаид On the limit polynomial for a solution of an elliptic equation of the fourth order with constant coefficients |
| title | On the limit polynomial for a solution of an elliptic equation of the fourth order with constant coefficients |
| title_alt | О предельном полиноме для решения эллиптического уравнения
четвертого порядка с постоянными коэффициентами |
| title_full | On the limit polynomial for a solution of an elliptic equation of the fourth order with constant coefficients |
| title_fullStr | On the limit polynomial for a solution of an elliptic equation of the fourth order with constant coefficients |
| title_full_unstemmed | On the limit polynomial for a solution of an elliptic equation of the fourth order with constant coefficients |
| title_short | On the limit polynomial for a solution of an elliptic equation of the fourth order with constant coefficients |
| title_sort | on the limit polynomial for a solution of an elliptic equation of the fourth order with constant coefficients |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4946 |
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