Global Asymptotic Stability and Boundedness of Certainmulti-Delay Functional Differential Equations of Third Order

Abstract

In this paper, the authors give sufficient conditions for the boundedness and global asymptotic stability of solutions to certain nonlinear multi-delay functional differential equations of the third order. The technique of proof involves defining an appropriate Lyapunov-Krasovskii functional and applying LaSalle's invariance principle. An example is included to illustrate the results. Copyright (C) 2014 JohnWiley & Sons, Ltd.