Criterion for the uniqueness of a solution of the Darboux-Protter problem for multidimensional Hyperbolic equations with Chaplygin operator
We obtain a criterion for the uniqueness of a regular solution of the Darboux-Protter problem for multidimensional hyperbolic equations with Chaplygin operator. We also prove a theorem on the uniqueness of solutions of the dual problem.
Збережено в:
| Дата: | 2004 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2004
|
| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/3826 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509957825232896 |
|---|---|
| author | Aldashev, S. A. Алдашев, С. А. Алдашев, С. А. |
| author_facet | Aldashev, S. A. Алдашев, С. А. Алдашев, С. А. |
| author_sort | Aldashev, S. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:11:24Z |
| description | We obtain a criterion for the uniqueness of a regular solution of the Darboux-Protter problem for multidimensional hyperbolic equations with Chaplygin operator. We also prove a theorem on the uniqueness of solutions of the dual problem. |
| first_indexed | 2026-03-24T02:49:22Z |
| format | Article |
| fulltext |
0119
0120
0121
0122
0123
0124
0125
0126
0127
|
| id | umjimathkievua-article-3826 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:49:22Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a8/e6ad291b221480388c3e507abb2aa3a8.pdf |
| spelling | umjimathkievua-article-38262020-03-18T20:11:24Z Criterion for the uniqueness of a solution of the Darboux-Protter problem for multidimensional Hyperbolic equations with Chaplygin operator Критерий единственности решения задачи Дарбу - Проттера для многомерных гиперболических уравнений с оператором Чаплыгина Aldashev, S. A. Алдашев, С. А. Алдашев, С. А. We obtain a criterion for the uniqueness of a regular solution of the Darboux-Protter problem for multidimensional hyperbolic equations with Chaplygin operator. We also prove a theorem on the uniqueness of solutions of the dual problem. Отримано критерій єдиності регулярного розв'язку задачі Дарбу - Проттера для багатовимірних гіперболічних рівнянь з оператором Чаплигіна, а також доведено теорему єдиності розв'язку спряженої до неї задачі. Institute of Mathematics, NAS of Ukraine 2004-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3826 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 8 (2004); 1119–1127 Український математичний журнал; Том 56 № 8 (2004); 1119–1127 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3826/4372 https://umj.imath.kiev.ua/index.php/umj/article/view/3826/4373 Copyright (c) 2004 Aldashev S. A. |
| spellingShingle | Aldashev, S. A. Алдашев, С. А. Алдашев, С. А. Criterion for the uniqueness of a solution of the Darboux-Protter problem for multidimensional Hyperbolic equations with Chaplygin operator |
| title | Criterion for the uniqueness of a solution of the Darboux-Protter problem for multidimensional Hyperbolic equations with Chaplygin operator |
| title_alt | Критерий единственности решения задачи Дарбу - Проттера для многомерных гиперболических уравнений с оператором Чаплыгина |
| title_full | Criterion for the uniqueness of a solution of the Darboux-Protter problem for multidimensional Hyperbolic equations with Chaplygin operator |
| title_fullStr | Criterion for the uniqueness of a solution of the Darboux-Protter problem for multidimensional Hyperbolic equations with Chaplygin operator |
| title_full_unstemmed | Criterion for the uniqueness of a solution of the Darboux-Protter problem for multidimensional Hyperbolic equations with Chaplygin operator |
| title_short | Criterion for the uniqueness of a solution of the Darboux-Protter problem for multidimensional Hyperbolic equations with Chaplygin operator |
| title_sort | criterion for the uniqueness of a solution of the darboux-protter problem for multidimensional hyperbolic equations with chaplygin operator |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3826 |
| work_keys_str_mv | AT aldashevsa criterionfortheuniquenessofasolutionofthedarbouxprotterproblemformultidimensionalhyperbolicequationswithchaplyginoperator AT aldaševsa criterionfortheuniquenessofasolutionofthedarbouxprotterproblemformultidimensionalhyperbolicequationswithchaplyginoperator AT aldaševsa criterionfortheuniquenessofasolutionofthedarbouxprotterproblemformultidimensionalhyperbolicequationswithchaplyginoperator AT aldashevsa kriterijedinstvennostirešeniâzadačidarbuprotteradlâmnogomernyhgiperboličeskihuravnenijsoperatoromčaplygina AT aldaševsa kriterijedinstvennostirešeniâzadačidarbuprotteradlâmnogomernyhgiperboličeskihuravnenijsoperatoromčaplygina AT aldaševsa kriterijedinstvennostirešeniâzadačidarbuprotteradlâmnogomernyhgiperboličeskihuravnenijsoperatoromčaplygina |