On the uniqueness of solutions to some boundary-value problems for differential equations in a domain with algebraic boundary
Classes of differential equations with constant coefficients admitting unique solutions of Dirichlet and Cauchy boundary-value problems are considered in a bounded domain with algebraic boundary. For the Dirichlet problem in a ball, the necessary and sufficient conditions for the uniqueness of the s...
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| Date: | 1993 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1993
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5882 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512103351189504 |
|---|---|
| author | Burskii, V. P. Бурский, В. П. Бурский, В. П. |
| author_facet | Burskii, V. P. Бурский, В. П. Бурский, В. П. |
| author_sort | Burskii, V. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:20:04Z |
| description | Classes of differential equations with constant coefficients admitting unique solutions of Dirichlet and Cauchy boundary-value problems are considered in a bounded domain with algebraic boundary. For the Dirichlet problem in a ball, the necessary and sufficient conditions for the uniqueness of the solution are obtained in the form of a countable sequence of inequalities polynomial in the coefficients of the equation. |
| first_indexed | 2026-03-24T03:23:28Z |
| format | Article |
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| id | umjimathkievua-article-5882 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:23:28Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/7a/78f35343bfadd710fefd5fe9e71baf7a.pdf |
| spelling | umjimathkievua-article-58822020-03-19T09:20:04Z On the uniqueness of solutions to some boundary-value problems for differential equations in a domain with algebraic boundary О единственности решения некоторых граничных задач для дифференциальных уравнений в области с алгебраической границей Burskii, V. P. Бурский, В. П. Бурский, В. П. Classes of differential equations with constant coefficients admitting unique solutions of Dirichlet and Cauchy boundary-value problems are considered in a bounded domain with algebraic boundary. For the Dirichlet problem in a ball, the necessary and sufficient conditions for the uniqueness of the solution are obtained in the form of a countable sequence of inequalities polynomial in the coefficients of the equation. В обмеженій області з алгебраїчною межею розглянуто класи диференціальних рівнянь зі сталими коефіцієнтами, для яких існує єдиність розв'язку крайової задачі типу Діріхле або Коші. Для задачі Діріхле у кулі одержано необхідні та достатні умови єдиності розв'язку у вигляді зчисленної послідовності нерівностей, поліноміальних за коефіцієнтами рівняння. Institute of Mathematics, NAS of Ukraine 1993-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5882 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 7 (1993); 898–906 Український математичний журнал; Том 45 № 7 (1993); 898–906 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5882/8447 https://umj.imath.kiev.ua/index.php/umj/article/view/5882/8448 Copyright (c) 1993 Burskii V. P. |
| spellingShingle | Burskii, V. P. Бурский, В. П. Бурский, В. П. On the uniqueness of solutions to some boundary-value problems for differential equations in a domain with algebraic boundary |
| title | On the uniqueness of solutions to some boundary-value problems for differential equations in a domain with algebraic boundary |
| title_alt | О единственности решения некоторых граничных задач для дифференциальных уравнений в области с алгебраической границей |
| title_full | On the uniqueness of solutions to some boundary-value problems for differential equations in a domain with algebraic boundary |
| title_fullStr | On the uniqueness of solutions to some boundary-value problems for differential equations in a domain with algebraic boundary |
| title_full_unstemmed | On the uniqueness of solutions to some boundary-value problems for differential equations in a domain with algebraic boundary |
| title_short | On the uniqueness of solutions to some boundary-value problems for differential equations in a domain with algebraic boundary |
| title_sort | on the uniqueness of solutions to some boundary-value problems for differential equations in a domain with algebraic boundary |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5882 |
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