Razumikhin method for impulsive functional differential equations of neutral type

Xiaodi Li and Feiqi Deng

Chaos, Solitons & Fractals, 2017, vol. 101, issue C, 41-49

Abstract: Although the well-known Razumikhin method has been well developed for the stability of functional differential equations with or without impulses and it is very useful in applications, so far there is almost no result of Razumikhin type on stability of impulsive functional differential equations of neutral type. The purpose of this paper is to close this gap and establish some Razumikhin-based stability results for impulsive functional differential equations of neutral type. A kind of auxiliary function N(t) that has great randomicity is introduced to Razumikhin condition. Some examples are given to show the effectiveness and advantages of the developed method.

Keywords: Impulsive functional differential equations (IFDEs); Neutral type; Razumikhin method; Uniform stability; Asymptotic stability; Lyapunov function (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:101:y:2017:i:c:p:41-49

DOI: 10.1016/j.chaos.2017.05.018

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