Boundary-value problems on the dynamics of the theory of elastic mixtures for a disk

We consider the first and second dynamic boundary-value problems in the theory of elastic mixtures. These problems are reduced to the corresponding problems for systems of equations for pseudooscillation by Laplace transformation relative to time. The solutions are represented in terms of four metaharmonic functions. It is proved that the problem of pseudooscillation has a unique solution. Conditions are given for existence of inverse transformations that provide solutions for the initial problem. Translated from Prikladnaya Mekhanika, Vol. 34, No. 12, pp. 86–92, December, 1998.