Spatially Nonlocal Problems with Integral Conditions for Ultraparabolic Equation Научная публикация
| Журнал |
Uzbek Mathematical Journal
ISSN: 2010-7269 |
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| Вых. Данные | Год: 2025, Том: 69, Номер: 2, Страницы: 142-152 Страниц : 11 DOI: 10.29229/uzmj.2025-2-13 | ||||
| Ключевые слова | ultraparabolic equations, nonlocal problems, integral conditions, existence, uniqueness. | ||||
| Авторы |
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| Организации |
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Информация о финансировании (1)
| 1 | Институт математики им. С.Л. Соболева СО РАН | FWNF-2022-0008 |
Реферат:
The article is devoted to investigating the solvability of new nonlocal boundary value problems for linear ultraparabolic equations with two time variables and one spatial variable. The main peculiarities of the problems is rst that nonlocal conditions of integral form are given with respect to the spatial variable and second, that the coe cient at one of the time derivatives may degenerate. The article aims to prove existence and uniqueness theorems for regular solutions, i.e., or solutions having all weak derivatives in the sense of S. L. Sobolev occurring in the equation.
Библиографическая ссылка:
Kozhanov A.I.
, Mamatov Z.A.
Spatially Nonlocal Problems with Integral Conditions for Ultraparabolic Equation
Uzbek Mathematical Journal. 2025. V.69. N2. P.142-152. DOI: 10.29229/uzmj.2025-2-13 OpenAlex
Spatially Nonlocal Problems with Integral Conditions for Ultraparabolic Equation
Uzbek Mathematical Journal. 2025. V.69. N2. P.142-152. DOI: 10.29229/uzmj.2025-2-13 OpenAlex
Даты:
| Опубликована в печати: | 22 окт. 2025 г. |
| Опубликована online: | 22 окт. 2025 г. |
Идентификаторы БД:
| OpenAlex: | W4411222236 |
Цитирование в БД:
Пока нет цитирований