Abstract:
It has been shown in a plane that one of fundamental problems of Math Physics, i.e. studying the behavior of a hesitating string, is not correct when boundary conditions are given on the whole boundary of the domain. As it is shown below, Dirichlet problem is incorrect not just for a wave equation but for general hyperbolic equations.In works of author the Dirichlet's problem is studied for linear multidimensional hyperbolic equalizations, where shown correctness of this task, substantially depending on the height of the examined cylindrical area.In this article for one class of singular hyperbolic equalizations solvability is well-proven and the obvious type of the multidimensional Dirichlet's problem is got.
Keywords:multidimensional Dirichlet's problem, singular hyperbolic equalizations, solvability, system of equalizations.
