Summary: We consider a mathematical model which describes the dynamic viscoelastic frictional contact between a deformable body and an obstacle. The contact process is modeled by a general normal damped response condition, and the dependence of normal stress on the normal velocity is assumed to have nonmonotone character of subdifferential form. The problem is formulated as a hyperbolic hemivariational inequality with nonmonotone multidimensional and multivalued boundary conditions. We establish the existence of solutions by using a surjectivity result for multivalued pseudomonotone operators. Under a stronger hypothesis, the uniqueness of solution is obtained.
For the entire collection see [Zbl 1076.35003].