BV right-continuous solutions of second-order differential inclusions governed by maximal monotone operators

TL;DR

This paper investigates the existence of right-continuous solutions with bounded variation for a class of perturbed second-order differential inclusions involving maximal monotone operators that depend on time and state.

Contribution

It establishes the existence of such solutions under conditions involving time and state-dependent maximal monotone operators, extending previous results in differential inclusions.

Findings

Existence of right-continuous solutions proven

Solutions have bounded variation properties

Applicable to differential inclusions with maximal monotone operators

Abstract

This paper concerns existence of right-continuous with bounded variation solutions of a perturbed second-order differential inclusion governed by time and state-dependent maximal monotone operators.