Study of a Class of Variational Inequalities

Abstract

In this thesis, we give a new proof of the existence of absolutely continuous solutions for a class of first order state dependent maximal monotone differential inclusions. The existence result is obtained by using Schauder's fixed point theorem. In addition, a stability result is provided. Finally, using a suitable reduction of order technique, we give a new existence result for a general second-order state-dependent maximal monotone differential inclusion.