International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 1, Pages 43-52
doi:10.1155/S0161171201003994

The initial boundary value problem of a mixed-typed hemivariational inequality

Xingming Guo

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

Abstract

A mixed-typed differential inclusion with a weakly continuous nonlinear term and a nonmonotone discontinuous nonlinear multi-valued term is studied, and the existence and decay of solutions are established.