STATEMENT AND STUDY OF A BOUNDARY VALUE PROBLEM FOR A THIRD-ORDER EQUATION OF PARABOLIC-HYPERBOLIC TYPE IN A MIXED PENTAGONAL DOMAIN, WHEN THE SLOPE OF THE CHARACTERISTIC OF THE OPERATOR THE FIRST ORDER IS GREATER THAN ONE
Keywords:
Boundary value problem, parabolic-hyperbolic type, unique solvability, solution construction methods, continuous derivatives, boundary conditions, gluing conditions.Abstract
In this paper, we pose and study one boundary value problem for a third-order parabolic-hyperbolic equation of the form in the pentagonal region, when the characteristic of the operator more than one. The unique solvability of the problem posed is proved using the method of constructing a solution.
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