Tunc, Cemil2025-05-102025-05-1020151405-213X2296-449510.1007/s40590-014-0050-6https://doi.org/10.1007/s40590-014-0050-6https://hdl.handle.net/20.500.14720/7696In 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.eninfo:eu-repo/semantics/closedAccessNeutral EquationConvergenceMultiple DelaysLyapunov-Krasovskii FunctionalInequality TechniqueArticle