Traveling waves for nonlinear cellular neural networks with distributed delays

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/51221

Title:	Traveling waves for nonlinear cellular neural networks with distributed delays
Authors:	Yu,ZX;Yuan,R;Hsu,CH;Jiang,Q
Contributors:	數學系
Keywords:	REACTION-DIFFUSION SYSTEMS;EQUATIONS;FRONTS;EXISTENCE;SPEEDS
Date:	2011
Issue Date:	2012-03-27 18:25:17 (UTC+8)
Publisher:	國立中央大學
Abstract:	In this paper, we will establish the existence and nonexistence of traveling waves for nonlinear cellular neural networks with finite or infinite distributed delays. The dynamics of each given cell depends on itself and its nearest m left or I right neighborhood cells where delays exist in self-feedback and left or right neighborhood interactions. Our approach is to use Schauder's fixed point theorem coupled with upper and lower solutions of the integral equation in a suitable Banach space. Further, we obtain the exponential asymptotic behavior in the negative infinity and the existence of traveling waves for the minimal wave speed by the limiting argument. Our results improve and cover some previous works. (C) 2011 Published by Elsevier Inc.
Relation:	JOURNAL OF DIFFERENTIAL EQUATIONS
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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