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Nonlocal Problems with Partially Integral Conditions for Fourth-Order Sobolev-Type Differential Equations Научная публикация

Журнал

Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962

Вых. Данные

Год: 2024, Том: 45, Номер: 9, Страницы: 4548-4556 Страниц : 9 DOI: 10.1134/s1995080224605125

Ключевые слова

Sobolev-type differential equations, nonlocal problems, integral conditions, regular solutions, existence, uniqueness

Авторы

Kozhanov A.I. ¹

Организации

1	Sobolev Institute of Mathematics, Novosibirsk, 630090 Russia

Информация о финансировании (1)

Математический центр в Академгородке

075-15-2022-282

Thearticle is devoted to the study of the solvability of nonlocal boundary value problems with conditions integral with respect to the distinguished variable t for the differential equations ∂2 ∂t2 +a(t) Δu+b(t)u = f(x,t) with the Laplace operator Δ with respect to the spatial variables x1,...,xn. Recently in the literature, equations (∗) have been called Sobolev-type equations. The article aims to prove existence and uniqueness theorems for regular solutions to the problems under study, i.e., for solutions having all weak derivatives occurring in (∗).

Kozhanov A.I.
Nonlocal Problems with Partially Integral Conditions for Fourth-Order Sobolev-Type Differential Equations
Lobachevskii Journal of Mathematics. 2024. V.45. N9. P.4548-4556. DOI: 10.1134/s1995080224605125 WOS Scopus РИНЦ OpenAlex

Поступила в редакцию:	20 июн. 2024 г.
Принята к публикации:	28 июл. 2024 г.
Опубликована в печати:	26 дек. 2024 г.
Опубликована online:	26 дек. 2024 г.

Web of science:	WOS:001385300400026
Scopus:	2-s2.0-85213355529
РИНЦ:	79027545
OpenAlex:	W4405801460

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