Linear Inverse Problem for a Three-Dimensional Fourth-Order Mixed-Type Equation of the Second Kind with Semi-Nonlocal Boundary Conditions in a Parallelepiped

Abstract In this article, the correctness of a linear inverse problem with semi-nonlocal boundary conditions for a three-dimensional mixed-type equation in a parallelepiped is considered. The equation itself is a fourth order mixed type equation of the second kind. The existence and uniqueness theorems for a generalized solution of the inverse problem in a certain class of integrable functions are proved using the functional methods.

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