Exponential stability of nonlinear impulsive neutral integro-differential equations

✍ Scribed by Liguang Xu; Daoyi Xu

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 354 KB
• Volume: 69
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2007.08.062

✦ Synopsis

In this paper, a nonlinear impulsive neutral integro-differential equation with time-varying delays is considered. By establishing a singular impulsive delay integro-differential inequality and transforming the n-dimensional impulsive neutral integro-differential equation to a 2n-dimensional singular impulsive delay integro-differential equation, some sufficient conditions ensuring the global exponential stability in PC 1 of the zero solution of an impulsive neutral integro-differential equation are obtained. The results extend and improve the earlier publications. An example is also discussed to illustrate the efficiency of the obtained results.