The Samarsky–Ionkin problem with integral perturbation for a pseudoparabolic equation

In the work the solvability of nonlocal boundary value problems for third-order pseudoparabolic equations in anisotropic spaces of Sobolev is studied. The condition is specified by a spatial variable that combines the generalized Samarsky–Ionkin condition and the integral type condition is particularity of the problems under study. The work aim is to prove the existence and uniqueness of the problems regular solutions — the solutions that have all Sobolev derivatives included in the corresponding equation.