Hyperbolic Boundary Value Problem With Equivalued Surface On The Domain With Thin Layer

In 1970's, boundary value problems with equivalued surface are put forward. Andit is important to study them to solve practical problems. Li Ta-tsien and his partnersdo systematic research on them, especially study certain kind of elliptic boundary valueproblem with equivalued surface on the domain with thin layer.This paper deals with certain kind of hyperbolic boundary value problem with equiv-alued surface on the domain with thin lever. Existence and uniqueness of solutions aregiven, and the limit behaviour of solutions is studied in this paper.This paper is composed of four chapter:The first chapter is introduction.Some main results and their proofs are given in the second, third and fourth chapter.