The inverse coefficient problem for dissipative operators and identification of the properties of viscoelastic materials

We give some general formulation and the variational equation of the inverse problem of identifying the inhomogeneous characteristics of three-dimensional viscoelastic body. Under consideration is the problem of reconstruction of the functional coefficients of dissipative operators arising in solving several problems of identification of the properties of layered inhomogeneous viscoelastic structures in the analysis of spectral characteristics. We suggest a method for constructing an iterative process and present the results of recovering functions of different types.