Nonlocal integro-differential problems of multi-dimensional wave processes

Nonlocal boundary-value problems for one-dimensional parabolic second-order equations with integral conditions on the lateral boundary are considered in the articles by A.I. Kozhanov. Higher-dimensional integro-differential equations of higher order with integral conditions on the lateral boundary w...

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Bibliographic Details
Published in:Journal of physics. Conference series 2019-07, Vol.1268 (1), p.12060
Main Author: Popov, N S
Format: Article
Language:English
Subjects:
Boundary value problems
Differential equations
Existence theorems
Integrals
Mathematical analysis
Physics
Regularization
Uniqueness theorems
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Summary:Nonlocal boundary-value problems for one-dimensional parabolic second-order equations with integral conditions on the lateral boundary are considered in the articles by A.I. Kozhanov. Higher-dimensional integro-differential equations of higher order with integral conditions on the lateral boundary were not studied earlier. The existence and uniqueness theorems of regular solutions are proven. The method of regularization and the method of continuation in a parameter are employed to establish solvability. In the present article we study integro-differential equations with integral conditions on the lateral boundary and prove existence theorems for regular solutions.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1268/1/012060