Approximate Solution of the de la Vallée Poussin Problem for a Differential Equation of Neutral Type by the Projection-Iterative Method
We solve the de la Vallée Poussin problem for a functional-differential equation by the projection-iterative method. We construct an algorithm, establish conditions sufficient for the convergence of the method, and present a computational scheme.
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| Date: | 2003 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
2003
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3905 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510037695266816 |
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| author | Gabrel', O. M. Mulyavka, O. H. Габрель, О. М. Мулявка, О. Г. |
| author_facet | Gabrel', O. M. Mulyavka, O. H. Габрель, О. М. Мулявка, О. Г. |
| author_sort | Gabrel', O. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:14:50Z |
| description | We solve the de la Vallée Poussin problem for a functional-differential equation by the projection-iterative method. We construct an algorithm, establish conditions sufficient for the convergence of the method, and present a computational scheme. |
| first_indexed | 2026-03-24T02:50:38Z |
| format | Article |
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| id | umjimathkievua-article-3905 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:50:38Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/cc/d51f14d8ff3d54fb8aefcf57d785b3cc.pdf |
| spelling | umjimathkievua-article-39052020-03-18T20:14:50Z Approximate Solution of the de la Vallée Poussin Problem for a Differential Equation of Neutral Type by the Projection-Iterative Method Наближене розв'язання задачі Валле Пуссена для диференціального рівняння нейтрального типу проекційно-ітеративним методом Gabrel', O. M. Mulyavka, O. H. Габрель, О. М. Мулявка, О. Г. We solve the de la Vallée Poussin problem for a functional-differential equation by the projection-iterative method. We construct an algorithm, establish conditions sufficient for the convergence of the method, and present a computational scheme. Розв'язано задачу Балле Пуссена для функціонально-диференціального рівняння проекційно-ітеративним методом. Побудовано алгоритм, встановлено достатні умови збіжності методу і наведено обчислювальну схему. Institute of Mathematics, NAS of Ukraine 2003-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3905 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 2 (2003); 278-283 Український математичний журнал; Том 55 № 2 (2003); 278-283 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3905/4525 https://umj.imath.kiev.ua/index.php/umj/article/view/3905/4526 Copyright (c) 2003 Gabrel' O. M.; Mulyavka O. H. |
| spellingShingle | Gabrel', O. M. Mulyavka, O. H. Габрель, О. М. Мулявка, О. Г. Approximate Solution of the de la Vallée Poussin Problem for a Differential Equation of Neutral Type by the Projection-Iterative Method |
| title | Approximate Solution of the de la Vallée Poussin Problem for a Differential Equation of Neutral Type by the Projection-Iterative Method |
| title_alt | Наближене розв'язання задачі Валле Пуссена для диференціального рівняння нейтрального типу проекційно-ітеративним методом |
| title_full | Approximate Solution of the de la Vallée Poussin Problem for a Differential Equation of Neutral Type by the Projection-Iterative Method |
| title_fullStr | Approximate Solution of the de la Vallée Poussin Problem for a Differential Equation of Neutral Type by the Projection-Iterative Method |
| title_full_unstemmed | Approximate Solution of the de la Vallée Poussin Problem for a Differential Equation of Neutral Type by the Projection-Iterative Method |
| title_short | Approximate Solution of the de la Vallée Poussin Problem for a Differential Equation of Neutral Type by the Projection-Iterative Method |
| title_sort | approximate solution of the de la vallée poussin problem for a differential equation of neutral type by the projection-iterative method |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3905 |
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