Convergence of Solutions of Nonlinear Neutral Differential Equations With Multiple Delays

Abstract

In this paper, on the basis of a new Lyapunov-Krasovskii functional and inequality technique, a set of novel sufficient conditions is derived for all solutions of a kind of nonlinear neutral differential equations of first order to approach zero as t -> infinity. The derived conditions are delay independent. An example is discussed to illustrate the efficiency of the result. Our result extends and improves some related ones in the literature.