Nonlocal Problems with Partially Integral Conditions for Fourth-Order Sobolev-Type Differential Equations Full article
| Journal |
Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962 |
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| Output data | Year: 2024, Volume: 45, Number: 9, Pages: 4548-4556 Pages count : 9 DOI: 10.1134/s1995080224605125 | ||
| Tags | Sobolev-type differential equations, nonlocal problems, integral conditions, regular solutions, existence, uniqueness | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Mathematical Center in Akademgorodok | 075-15-2022-282 |
Abstract:
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 (∗).
Cite:
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
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
Dates:
| Submitted: | Jun 20, 2024 |
| Accepted: | Jul 28, 2024 |
| Published print: | Dec 26, 2024 |
| Published online: | Dec 26, 2024 |
Identifiers:
| Web of science: | WOS:001385300400026 |
| Scopus: | 2-s2.0-85213355529 |
| Elibrary: | 79027545 |
| OpenAlex: | W4405801460 |
Citing:
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