Abstract and Applied Analysis

New Results on Impulsive Functional Differential Equations with Infinite Delays

Jie Yang and Bing Xie

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Abstract

We investigate the stability for a class of impulsive functional differential equations with infinite delays by using Lyapunov functions and Razumikhin-technique. Some new Razumikhin-type theorems on stability are obtained, which shows that impulses do contribute to the system’s stability behavior. An example is also given to illustrate the importance of our results.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 132619, 8 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393450044

Digital Object Identifier
doi:10.1155/2013/132619

Mathematical Reviews number (MathSciNet)
MR3049373

Zentralblatt MATH identifier
1278.34092

Citation

Yang, Jie; Xie, Bing. New Results on Impulsive Functional Differential Equations with Infinite Delays. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 132619, 8 pages. doi:10.1155/2013/132619. https://projecteuclid.org/euclid.aaa/1393450044


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