On Exterior Elliptic Problems Polynomially Depending on a Spectral Parameter, and the Asymptotic Behavior for Large Time of Solutions of Nonstationary Problems

In this paper elliptic problems in exterior domains polynomially depending on a spectral parameter are considered. These problems are obtained from a mixed problem for hyperbolic equations by substituting for . For such elliptic problems analytic properties of the resolvent are studied in the neighborhood of the point , which permits, for the corresponding nonstationary problem, a complete asymptotic expansion of solutions as .Bibliography: 11 items.