ON A NONLINEAR WAVE EQUATION WITH MIXED BOUNDARY CONDITIONS OF MANY-POINT TYPE
This paper is devoted to the study of a wave equation with mixed boundary conditions of many-point type. The existence and uniqueness of weak solutions are proved by applying the Galerkin method. In addition, the stability of the weak solution is considered.
many-point boundary condition, Galerkin method, Schauder theorem, weak solutions, stability of the weak solutions.