РАЗРЕШИМОСТЬ ОДНОЙ КРАЕВОЙ ЗАДАЧИ ДЛЯ УРАВНЕНИЯ СМЕШАННОГО ТИПА ЧЕТВЕРТОГО ПОРЯДКА

In this article, in a rectangular domain, one boundary value problem is studied for a fourth-order partial differential equation of mixed type containing the wave opera-tor and the product of the inverse and direct heat conduction operators. The criteria for the uni-queness of the solution of the problem are established, which are constructed as the sum of Fou-rier series. The uniqueness of the solution obtained is proved by using the completeness of the si-ne system. The stability of the solution obtained and the strong solvability of the problem are proved.