Asymptotically autonomous multivalued differential equations

Abstract

The asymptotic behavior of solutions of the perturbed autonomous multivalued differential equation x ′ ∈ F ( x ) + G ( t , x ) x’ \in F(x) + G(t,x) is examined in relation to the behavior of solutions of the autonomous equation x ′ ∈ F ( x ) x’ \in F(x) assuming that all solutions of the latter approach zero as t approaches ∞ \infty .