On a linear inverse problem with nonlocal boundary conditions of periodic type for a three-dimensional equation of mixed type of the second kind of the fourth order in a parallelepiped

This article discusses the correctness of one linear inverse problem with nonlocal boundary conditions of periodic type for a three-dimensional equation of mixed type of the second kind of the fourth order in a parallelepiped. For this problem, the existence and uniqueness theorems for a generalized solution to one linear inverse problem with nonlocal boundary conditions of periodic type in a certain class of integrals functions are proved using the methods of Fourier, ""-regularization", a priori estimates, approximating sequences and contracting mappings.