Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays
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Date
2006-02-07
Authors
Zhou, Qiyuan
Xiao, Bing
Yu, Yuehua
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this paper, we consider shunting inhibitory cellular neural networks (SICNNs) with continuously distributed delays. Sufficient conditions for the existence and local exponential stability of almost periodic solutions are established using a fixed point theorem, Lyapunov functional method, and differential inequality techniques. We illustrate our results with an example for which our conditions are satisfied, but not the conditions in [4,6,8].
Description
Keywords
Shunting inhibitory cellular neural networks, Almost periodic solution, Exponential stability, Continuously distributed delays
Citation
Zhou, Q., Xiao, B., & Yu, Y. (2006). Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays. <i>Electronic Journal of Differential Equations, 2006</i>(19), pp. 1-10.
Rights
Attribution 4.0 International