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2014 Periodic Solutions for Shunting Inhibitory Cellular Neural Networks of Neutral Type with Time-Varying Delays in the Leakage Term on Time Scales
Yongkun Li, Lei Wang, Yu Fei
J. Appl. Math. 2014: 1-16 (2014). DOI: 10.1155/2014/496396

Abstract

A class of shunting inhibitory cellular neural networks of neutral type with time-varying delays in the leakage term on time scales is proposed. Based on the exponential dichotomy of linear dynamic equations on time scales, fixed point theorems, and calculus on time scales we obtain some sufficient conditions for the existence and global exponential stability of periodic solutions for that class of neural networks. The results of this paper are completely new and complementary to the previously known results even if the time scale 𝕋= or . Moreover, we present illustrative numerical examples to show the feasibility of our results.

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Yongkun Li. Lei Wang. Yu Fei. "Periodic Solutions for Shunting Inhibitory Cellular Neural Networks of Neutral Type with Time-Varying Delays in the Leakage Term on Time Scales." J. Appl. Math. 2014 1 - 16, 2014. https://doi.org/10.1155/2014/496396

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010656
MathSciNet: MR3170445
Digital Object Identifier: 10.1155/2014/496396

Rights: Copyright © 2014 Hindawi

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