BOUNDARY-VALUE PROBLEM FOR A LOADED HYPERBOLIC-PARABOLIC EQUATION WITH DEGENERACY OF ORDER IN THE HYPERBOLICITY DOMAIN

摘要

In this paper, we study a boundary-value problem for a loaded hyperbolic-parabolic equation with degeneracy of order in the domain of its hyperbolicity. The existence and uniqueness theorems for solutions of this problem are proved and a representation of solutions is obtained.