Evolution Problems with <i>m</i>-Accretive Operators and Perturbations

Abstract

This paper is devoted to the study of perturbation evolution problems involving time-dependent m-accretive operators. We present for a specific class of m-accretive operators with convex weakly compact-valued perturbation, some results about the existence of absolutely continuous solutions and BRVC solutions. We finish by giving several applications to various domains such as relaxation results, second-order evolution inclusions, fractional-order equations coupled with m-accretive operators and Skorohod differential inclusions.

Keywords

• evolution problems
• <i>m</i>-accretive operator
• perturbation
• AC solution
• BRVC solution
• second-order evolution inclusion