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В работе исследована краевая задача для модельного уравнения смешанного парабологиперболического типа третьего порядка. Доказана теорема о единственности и существовании регулярного решения исследуемой задачи. Решение исследуемой задачи выписано в явном виде In this paper, a boundary value problem for a model inhomogeneous mixed parabolichyperbolic 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.

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