Nonlocal problems with an integrally-disturbed A. A. Samarskii condition for third order quasi-parabolic equations

We study the solvability in anisotropic Sobolev spaces of nonlocal boundary problems for the third order quasi-parabolic equations with an integrally-disturbed Samarskii condition. A uniqueness and existence theorem is proved for regular solutions (i. e. the solutions that have all generalized derivatives that were used in equation).