Persistent impulsive effects on stability of functional differential equations with finite or infinite delay

Xiaodi Li, Jianhua Shen and R. Rakkiyappan

Applied Mathematics and Computation, 2018, vol. 329, issue C, 14-22

Abstract: In this paper, the stability problem of impulsive functional differential equations (IFDEs) is considered. Several criteria ensuring the uniform stability of IFDEs with finite or infinite delay are derived by establishing some new Razumikhin conditions. Different with the current existing ones, our development results can be applied to delay systems with persistent impulsive effects. Finally, an example and its computer simulation is given to show the effectiveness and advantages of the proposed method.

Keywords: Persistent impulsive effects; Uniform stability; Razumikhin condition; Impulsive functional differential equations (IFDEs); Infinite delay; Finite delay (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (23)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:329:y:2018:i:c:p:14-22

DOI: 10.1016/j.amc.2018.01.036

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