A BOUNDARY VALUE PROBLEM WITH DISPLACEMENT FOR A MODEL EQUATION OF A PARABOLIC-HYPERBOLIC TYPE OF THE THIRD ORDER

Abstract

In this paper, a boundary value problem for a model inhomogeneous mixed parabolic-hyperbolic type equation of third order is investigated. A theorem on uniqueness and the existence of a regular solution of the problem under investigation is proved. The solution of the investigated problem is written out in an explicit form.

Keywords

• mixed type equation
• aller equation
• third-order equation with multiple characteristics
• tricomi method.