Hyperbolic quasivariational inequalities with applications to dynamic viscoelastic frictional contact problem

Abstract

In this paper, we consider a quasivariational inequalities of hyperbolic type, the existence, uniqueness and regularity of a solution to the quasivariational inequalities is proved by using Rothe method and fixed-point technique. We illustrate the abstract results by an application to dynamic contact frictional problem for viscoelastic materials where the friction bound function depends on the slip.