Unique solvability of the boundary value problem for integro-differential equations with involution

In this paper, it is established a criteria for the unique solvability of a boundary value problem for systems of integro-differential equations with an involutive transformation when the kernel is degenerate. A modified parametrization method is applied to the study of a boundary value problem for...

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Bibliographic Details
Main Authors: Nazarova, Kulzina, Usmanov, Kairat
Format: Conference Proceeding
Language:English
Subjects:
Boundary value problems
Differential equations
Mathematical analysis
Parameterization
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Summary:In this paper, it is established a criteria for the unique solvability of a boundary value problem for systems of integro-differential equations with an involutive transformation when the kernel is degenerate. A modified parametrization method is applied to the study of a boundary value problem for systems of integro-differential equations with involution, and conditions for the unique solvability of the problem under consideration are obtained.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0057302