Spatially Nonlocal Problems with Integral Conditions for Ultraparabolic Equation Full article
| Journal |
Uzbek Mathematical Journal
ISSN: 2010-7269 |
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| Output data | Year: 2025, Volume: 69, Number: 2, Pages: 142-152 Pages count : 11 DOI: 10.29229/uzmj.2025-2-13 | ||||
| Tags | ultraparabolic equations, nonlocal problems, integral conditions, existence, uniqueness. | ||||
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0008 |
Abstract:
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.
Cite:
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
Dates:
| Published print: | Oct 22, 2025 |
| Published online: | Oct 22, 2025 |
Identifiers:
| OpenAlex: | W4411222236 |
Citing:
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