Author:
Muratbekova Moldir,Karachik Valery,Turmetov Batirkhan
Abstract
AbstractIn this paper, the solvability of a new class of nonlocal boundary value problems for the Poisson equation is studied. Nonlocal conditions are specified in the form of a connection between the values of the unknown function at different points of the boundary. In this case, the boundary operator is determined using matrices of involution-type mappings. Theorems on the existence and uniqueness of solutions to the studied problems are proved. Using Green’s functions of the classical Dirichlet and Neumann boundary value problems, Green’s functions of the studied problems are constructed and integral representations of solutions to these problems are obtained.
Funder
the Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan
Publisher
Springer Science and Business Media LLC
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