Uniformly Lipschitz Stability and Asymptotic Property of Perturbed Functional Differential Systems

Abstract

Abstract. This paper shows that the solutions to the perturbed functional differential systemhave uniformly Lipschitz stability and asymptotic property. To show these properties, we impose conditions on the perturbed part t t0 g(s, y(s), T y(s))ds and the fundamental matrix of the unperturbed system y = f (t, y).