About one class of boundary tasks for the equation of the fourth order of parabolo-hyperbolic type in pentagonal area

In this paper, a number of boundary tasks for the equation of the fourth order of a parabolo-hyperbolic type look $(a_1 \partial/ \partial x+b_1 \partial/ \partial y)(a_2 \partial/ \partial x+b_2 \partial / \partial y)(Lu)=0$ is put in pentagonal area. Unequivocal resolvability of one of put tasks is proved by methods of creation of the decision, the integrated and differential equations.