An asymptotic expansion for a solution to viscoelasticity equations

A problem of waves excited by an arbitrary oriented impulsive point force is investigated for a linear system of viscoelasticity equations. It is assumed that the medium is heterogeneous, isotropic and its properties depend on the prehistory of a wavy process. We suppose that the modulus of elasticity is expressed as the sum of two items. The rst one is a function of space variables and the second item presents an integral operator of convolution type with respect to time. The structure of the solution to the Cauchy problem for a system of viscoelasticity equations is examined.