Variational method for the solution of problems of transmission with the principal conjugation condition
We prove the existence of a solution of a variational minimax problem that is equivalent to the problem of transmission. We propose an algorithm for the construction of approximate solutions and prove its convergence.
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| Datum: | 1999 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1999
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4663 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510818506899456 |
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| author | Komarenko, A. N. Trotsenko, V. A. Комаренко, О. Н. Троценко, В. А. |
| author_facet | Komarenko, A. N. Trotsenko, V. A. Комаренко, О. Н. Троценко, В. А. |
| author_sort | Komarenko, A. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:11:00Z |
| description | We prove the existence of a solution of a variational minimax problem that is equivalent to the problem of transmission. We propose an algorithm for the construction of approximate solutions and prove its convergence. |
| first_indexed | 2026-03-24T03:03:02Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4663 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:03:02Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/30/81a2d163e1fc3441e54104afe3547d30.pdf |
| spelling | umjimathkievua-article-46632020-03-18T21:11:00Z Variational method for the solution of problems of transmission with the principal conjugation condition Варіаційний метод розв'язання задач трансмісії з головною умовою спряження Komarenko, A. N. Trotsenko, V. A. Комаренко, О. Н. Троценко, В. А. We prove the existence of a solution of a variational minimax problem that is equivalent to the problem of transmission. We propose an algorithm for the construction of approximate solutions and prove its convergence. Для варіаційної задачі на мінімакс, яка еквівалентна задачі трансмісії, доведено існування розв'язку. Запропоновано алгоритм побудови наближених розв'язків та доведено його збіжність. Institute of Mathematics, NAS of Ukraine 1999-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4663 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 6 (1999); 762–775 Український математичний журнал; Том 51 № 6 (1999); 762–775 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4663/6028 https://umj.imath.kiev.ua/index.php/umj/article/view/4663/6029 Copyright (c) 1999 Komarenko A. N.; Trotsenko V. A. |
| spellingShingle | Komarenko, A. N. Trotsenko, V. A. Комаренко, О. Н. Троценко, В. А. Variational method for the solution of problems of transmission with the principal conjugation condition |
| title | Variational method for the solution of problems of transmission with the principal conjugation condition |
| title_alt | Варіаційний метод розв'язання задач трансмісії з головною умовою спряження |
| title_full | Variational method for the solution of problems of transmission with the principal conjugation condition |
| title_fullStr | Variational method for the solution of problems of transmission with the principal conjugation condition |
| title_full_unstemmed | Variational method for the solution of problems of transmission with the principal conjugation condition |
| title_short | Variational method for the solution of problems of transmission with the principal conjugation condition |
| title_sort | variational method for the solution of problems of transmission with the principal conjugation condition |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4663 |
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