International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 3, Pages 587-595
doi:10.1155/S0161171299225872

On weak solution to a hyperbolic differential inclusion with nonmonotone discontinuous nonlinear term

Xingming Guo

Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, China

Abstract

In this paper, a hyperbolic differential inclusion with nonmonotone discontinuous and nonlinear term, which the generalized velocity acts as its variable, is studied and the existence and decay of its weak solution are obtained.