Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 475019, 16 pages
doi:10.1155/2010/475019
Research Article

A Generalized Halanay Inequality for Stability of Nonlinear Neutral Functional Differential Equations

Wansheng Wang

School of Mathematics and Computational Science, Changsha University of Science and Technology, Changsha 410114, China

Received 22 March 2010; Accepted 18 July 2010

Academic Editor: Kun quan Q. Lan

Copyright © 2010 Wansheng Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper is devoted to generalize Halanay's inequality which plays an important rule in study of stability of differential equations. By applying the generalized Halanay inequality, the stability results of nonlinear neutral functional differential equations (NFDEs) and nonlinear neutral delay integrodifferential equations (NDIDEs) are obtained.