On Asymptotically Autonomous Retarded Functional Differential Equations

The aim of the present paper is to investigate the asymptotic behavior of the solutions of the asymptotically autonomous retarded functional differential equation ˙xŽt. Lxt MŽt.xt. We obtain a convergence result without assuming that MŽt. is in Lp, 1 p . Moreover, we give bounds on the rate of convergence as well.