Soumia Saidi - LMPA Laboratory, Department of Mathematics, Mohammed Seddik Benyahia University, Jijel, Algeria

The present work is concerned with a class of perturbed second-order differential inclusions driven by state-dependent maximal monotone operators, in the context of an infinite-dimensional framework. To prove our existence theorem, we make crucial use of a compactness type assumption on the domain of the operators and succeed in adapting to the second-order setting a discretization approach. An application of our main result to the theory of quasi-variational evolution inequalities is provided.

Differential inclusion, second-order, Maximal Monotone Operator, pseudo-distance, quasi-variational inequality