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2013 Asymptotic Stability of Impulsive Cellular Neural Networks with Infinite Delays via Fixed Point Theory
Yutian Zhang, Yuanhong Guan
Abstr. Appl. Anal. 2013(SI38): 1-10 (2013). DOI: 10.1155/2013/427827

Abstract

We employ the new method of fixed point theory to study the stability of a class of impulsive cellular neural networks with infinite delays. Some novel and concise sufficient conditions are presented ensuring the existence and uniqueness of solution and the asymptotic stability of trivial equilibrium at the same time. These conditions are easily checked and do not require the boundedness and differentiability of delays.

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Yutian Zhang. Yuanhong Guan. "Asymptotic Stability of Impulsive Cellular Neural Networks with Infinite Delays via Fixed Point Theory." Abstr. Appl. Anal. 2013 (SI38) 1 - 10, 2013. https://doi.org/10.1155/2013/427827

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1277.34106
MathSciNet: MR3035387
Digital Object Identifier: 10.1155/2013/427827

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI38 • 2013
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