Statement and study of some boundary value problem for third order equation of parabolic-hyperbolic type type $\frac{\partial}{\partial{x}}(Lu) = 0$ in a pentagonal area

In this paper we put two boundary value problems, and examines one of these problems for the equation of the third order parabolic-hyperbolic type $\frac{\partial}{\partial{x}}(Lu) = 0$ in a pentagonal area. We prove the unique solvability of the problem