About one boundary task for the parabolo-hyperbolic equation of the fourth order in pentagonal area

In this paper, one boundary task for the equation of the fourth order of a parabolo-hyperbolic holotype look $\partial/\partial y\left(a_2 \partial / \partial x +b_2 \partial/\partial y\right)(Lu) = 0$ is put and investigated in pentagonal area. Unequivocal resolvability of this put task is proved by methods of creation of the decision, the integrated and differential equations.