Traveling waves for delayed cellular neural networks with nonmonotonic output functions
type: Item
instance of: scholarly article
title: Traveling waves for delayed cellular neural networks with nonmonotonic output functions
zbMATH Open document ID: 1470.34048
DOI: 10.1155/2014/490161
author: Zhixian Yu
author: Rong Yuan
author: Cheng-Hsiung Hsu
author: Mingshu Peng
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This work investigates traveling waves for a class of delayed cellular neural networks with nonmonotonic output functions on the one-dimensional integer lattice \(\mathbb{Z}\). The dynamics of each given cell depends on itself and its nearest \(m\) left or \(l\) right neighborhood cells with distributed delay due to, for example, finite switching speed and finite velocity of signal transmission. Our technique is to construct two appropriate nondecreasing functions to squeeze the nonmonotonic output functions. Then we construct a suitable wave profiles set and derive the existence of traveling wave solutions by using Schauder's fixed point theorem.
Mathematics Subject Classification ID: 34A38
Mathematics Subject Classification ID: 34K05
Mathematics Subject Classification ID: 35C07
zbMATH DE Number: 7022475
Wikidata QID: Q59038698
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/490161
OpenAlex ID: W2140218509
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description: scientific article; zbMATH DE number 7022475