A stability criterion for HNFDE with non-uniform delays

Xingwen Liu, Shouming Zhong and Fengli Zhang

Chaos, Solitons & Fractals, 2005, vol. 24, issue 5, 1299-1305

Abstract: Stability of functional differential equations (FDE) is an increasingly important problem in both science and engineering. Delays, whether uniform or non-uniform, play an important role in the dynamics of a system. Since non-uniform delay is more general and less focused than uniform delay, this paper concentrates on the stability of high-order neutral functional differential equations (HNFDE) with non-uniform delay, and proposes a sufficient condition for it. This result may be widely helpful, thanks to the frequent emergence of a HNFDE with non-uniform delay in various fields. Its effectiveness is illustrated by some examples.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:24:y:2005:i:5:p:1299-1305

DOI: 10.1016/j.chaos.2004.09.046

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