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 Correspondence should be addressed to Wansheng Wang, [email protected] Received 22 March 2010; Accepted 18 July 2010 Academic Editor: Kun quan Q. Lan Copyright q 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. 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.