A stability criterion for HNFDE with non-uniform delays

作者:Liu, XW*; Zhong, SM; Zhang, FL
来源:Chaos Solitons & Fractals, 2005, 24(5): 1299-1305.
DOI:10.1016/j.chaos.2004.09.046

摘要

yStability 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.

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