On the stability of impulsive functional differential equations with infinite delays. (1st October 2014)

• Record Type: Journal Article
• Authors: Li, Xiaodi; Caraballo, T.; Rakkiyappan, R.; Han, Xiuping
• Is Part Of: Mathematical methods in the applied sciences. Volume 38:Number 14(2015:Sep. 30)
• Page Start: 3130
• Page End: 3140
• Publication Date: 2014-10-01
• Subjects: Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.3303
• Languages: English
• ISSNs: 0170-4214

Abstract

<abstract abstract-type="main" id="mma3303-abs-0001"> <title> <x xml:space="preserve">Abstract</x> </title> <p id="mma3303-para-0001">In this paper, the stability problem of impulsive functional differential equations with infinite delays is considered. By using Lyapunov functions and the Razumikhin technique, some new theorems on the uniform stability and uniform asymptotic stability are obtained. The obtained results are milder and more general than several recent works. Two examples are given to demonstrate the advantages of the results. Copyright © 2014 John Wiley &amp; Sons, Ltd.</p> </abstract>