General Solution of the Dynamic Space Problem in the Evaluation of Vibrations in Elastic Layer

We propose a method for the construction of a solution of the dynamic space problem of determination of vibrations in an elastic layer with instantaneous internal dilatation ε^* (instantaneous relative to changes in the infinitesimal volume). The problem is reduced to the solution of a system of linear inhomogeneous partial differential equations with load-free boundary conditions and zero initial conditions.