Document Type : Research Paper

Author

• Soumia Saidi

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

Abstract

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.

Keywords

• Differential inclusion
• second-order
• maximal monotone operator
• pseudo-distance
• quasi-variational inequality