Theorems on the average values and non-oscillating character of the solutions of the partial differential equations in the spaces $E^n$ and $P^n$
Analogs of the mean-value theorem are obtained for the Poisson equation with the Laplace-Beltrami operator in Euclidean and spherical spaces.
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| Дата: | 2024 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2024
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/8248 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865794482669092864 |
|---|---|
| author | Bugir, M.K. Бугир, М.К. |
| author_facet | Bugir, M.K. Бугир, М.К. |
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"author": "М.К. Бугир",
"institution": "Ин-т нар. хоз-ва, Тернополь"
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| author_sort | Bugir, M.K. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-03-27T09:55:08Z |
| description | Analogs of the mean-value theorem are obtained for the Poisson equation with the Laplace-Beltrami operator in Euclidean and spherical spaces. |
| first_indexed | 2026-03-24T03:37:48Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8248 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:37:48Z |
| publishDate | 2024 |
| publisher | Institute of Mathematics, NAS of Ukraine |
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| resource_txt_mv | umjimathkievua/59/9e8b0a6adeb0b4b2ed449be636138f59.pdf |
| spelling | umjimathkievua-article-82482024-03-27T09:55:08Z Theorems on the average values and non-oscillating character of the solutions of the partial differential equations in the spaces $E^n$ and $P^n$ Теоремы о средних значениях и неколеблемость решений уравнений с частными производными в пространствах $E^n$ и $P^n$ Bugir, M.K. Бугир, М.К. Analogs of the mean-value theorem are obtained for the Poisson equation with the Laplace-Beltrami operator in Euclidean and spherical spaces. Получены аналоги-теоремы о среднем значении для уравнения Пуассона с оператором Лапласа-Бельтрами в евклидовом и сферическом пространствах. Одержано аналоги-теореми про середнє значення для рівняння Пуассона з оператором Лапласа-Бельтрамі в евклідовому та сферичному просторах. Institute of Mathematics, NAS of Ukraine 2024-03-26 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8248 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 11 (1992); 1477-1483 Український математичний журнал; Том 44 № 11 (1992); 1477-1483 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8248/9828 Copyright (c) 1992 M.K. Bugir |
| spellingShingle | Bugir, M.K. Бугир, М.К. Theorems on the average values and non-oscillating character of the solutions of the partial differential equations in the spaces $E^n$ and $P^n$ |
| title | Theorems on the average values and non-oscillating character of the solutions of the partial differential equations in the spaces $E^n$ and $P^n$ |
| title_alt | Теоремы о средних значениях и неколеблемость решений уравнений с частными производными в пространствах $E^n$ и $P^n$ |
| title_full | Theorems on the average values and non-oscillating character of the solutions of the partial differential equations in the spaces $E^n$ and $P^n$ |
| title_fullStr | Theorems on the average values and non-oscillating character of the solutions of the partial differential equations in the spaces $E^n$ and $P^n$ |
| title_full_unstemmed | Theorems on the average values and non-oscillating character of the solutions of the partial differential equations in the spaces $E^n$ and $P^n$ |
| title_short | Theorems on the average values and non-oscillating character of the solutions of the partial differential equations in the spaces $E^n$ and $P^n$ |
| title_sort | theorems on the average values and non-oscillating character of the solutions of the partial differential equations in the spaces $e^n$ and $p^n$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8248 |
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