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

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

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

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