Second-order evolution problems by time and state-dependent maximal monotone operators and set-valued perturbations

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.

کلیدواژه ها:

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