NEW RELATIONS FOR THE ANALYTIC SOLUTION OF THE HYPERBOLIC TRANSPORT MODELS
Considered practically important problem of nonstationary heat conduction for hyperbolic transport models. Relations for a number of complex images of the originals of the Laplace transform, used for solving hypeibolic-ray models operational method. An analytical approach based on the contour integration of operational decisions hyperbolic models containing new integral relations that are convenient for numerical experiments. The equivalence of new functional structures and known analytical solutions of this class of problems. On the basis of the relations described the wave nature of transient heat conduction with the finite speed of propagation of heat; designed racing at the front of the heat wave. Proposed approach gives effective results in the study of reaction heat for heating or cooling the area bounded by the inside of a plane surface or a cylindrical cavity or a spherical surface.