Asymptotic Behaviors of Solutions of Nonautonomous Functional Differential Equations with Infinite Delay

The purpose of this paper is to study the asymptotic behaviours of solutions of nonautonomous functional differential equations with infinite delay in Rn. Some results are obtained by using Liapunov theory and the Razumikhin technique. This results extend and improve the corresponding theorems in [J. R. Haddock, Funkcial. Ekvac. 19 (1976), 247-269; T. Yoshizawa, to appear; M. E. Parrott, J. Math. Anal. Appl.87 (1982), 603-627].