An existence result for a new variant of the nonconvex sweeping process

Abstract

In this paper we prove the existence of solutions of the following new variant of the nonconvex sweeping process with perturbation − Au(t) ∈ NC(t)(dot{u}(t)) + ü(t) + F(t,dot{u}(t)) a.e. on \[ 0,T ] (T > 0).