On the solvability of the main boundary value problems for a nonlocal Poisson equation

Authors: VALERY KARACHIK, ABDIZHAHAN SARSENBI, BATIRKHAN TURMETOV

Abstract: Solvability of the main boundary value problems for the nonlocal Poisson equation is studied. Existence and uniqueness theorems for the considered problems are obtained. The necessary and sufficient solvability conditions for all problems are given and integral representations for the solutions are constructed.

Keywords: Nonlocal equation, Poisson equation, existence and uniqueness, Green's function

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