On boundary problems for circle of dynamics of the theory of elastic mixture

The paper deals with the first and the second dynamic boundary problems of the theory of elastic mixtures. These problems are reduced to the corresponding problems for the system of equations of pseudooscillation by Laplace transformation. The representation of solutions of the system is obtained by four metaharmonic functions. It is proved that the problems of pseudooscillation have the single solutions. The conditions are given when the inverse transformations exist and give solutions for the initial problems.