Qualitative properties of traveling waves for nonlinear cellular neural networks with distributed delays

被引：8

作者：

Wu, Shi-Liang ^{[1
]}

Niu, Tong-Chang ^{[1
]}

机构：

[1] Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 434卷 / 01期

关键词：

Nonlinear cellular neural network; Distributed delay; Traveling wave; Qualitative property; UNIQUENESS; EXISTENCE; STABILITY; EQUATION;

D O I：

10.1016/j.jmaa.2015.09.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this article is to study various qualitative properties of traveling waves for nonlinear cellular neural networks with distributed delays. The existence of monotone traveling waves of the model has been obtained in [25]. In this paper, we first determine the exact asymptotic behavior of the traveling waves at infinity. Then, the non-existence of the traveling waves is established. Finally, based on a strong comparison theorem, we prove the monotonicity and uniqueness (up to translation) of the traveling waves. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：617 / 632

页数：16

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