On one linear inverse problem with nonlocal boundary conditions for the second kind, second order mixed type equation in an unbounded parallelepiped

In this article the correctness of a linear inverse problem with nonlocal boundary conditions for the three-dimensional second kind, second order mixed type equation in an unbounded parallelepiped is investigated. The existence and uniqueness theorems for a generalized solution to a linear inverse problem with a nonlocal boundary condition are proved in a certain class of integrable functions. The "-regularization", a priori estimates, approximation sequences, Fourier transform methods are applied.