Qualitative properties of traveling waves for nonlinear cellular neural networks with distributed delays
type: Item
instance of: scholarly article
title: Qualitative properties of traveling waves for nonlinear cellular neural networks with distributed delays
zbMATH Open document ID: 1355.34104
author: Shi-Liang Wu
author: Tong-Chang Niu
published in: Journal of Mathematical Analysis and Applications
publication date: 2015-11-10T00:00:00Z
review text: Consider a nonlinear neural network with distributed time delays. The existence of monotone traveling waves for that system has been established in [\textit{Z.-X. Yu} et al., J. Differ. Equations 251, No. 3, 630--650 (2011; Zbl 1228.34122)]. The authors study the asymptotic behaviour, non-existence, monotonicity and uniqueness of traveling waves in the network under consideration.
reviewed by: Klaus R. Schneider
Mathematics Subject Classification ID: 34K10
Mathematics Subject Classification ID: 34K25
Mathematics Subject Classification ID: 34K12
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 6506818
zbMATH Keywords: traveling wave
zbMATH Keywords: cellular neural networks
zbMATH Keywords: distributed delay
MaRDI profile type: Publication
full work available at URL: j.jmaa.2015.09.021
OpenAlex ID: W1461635055
cites work: Uniqueness of travelling waves for nonlocal monostable equations
cites work: Uniqueness and existence of traveling waves for discrete quasilinear monostable dynamics
cites work: Q4211561
cites work: Cellular neural networks: theory
cites work: On the bounded solutions of a nonlinear convolution equation
cites work: Q3762388
cites work: Existence and uniqueness of traveling waves for a monostable 2-D lattice dynamical system
cites work: Uniqueness and stability of traveling waves for periodic monostable lattice dynamical system
cites work: Existence and multiplicity of traveling waves in a lattice dynamical system
cites work: On camel-like traveling wave solutions in cellular neural networks.
cites work: Structure of a class of traveling waves in delayed cellular neural networks
cites work: Traveling wave solutions in cellular neural networks with multiple time delays
cites work: Existence, uniqueness, monotonicity and asymptotic behaviour of travelling waves for epidemic models
cites work: TRAVELING WAVES IN CELLULAR NEURAL NETWORKS
cites work: DIVERSITY OF TRAVELING WAVE SOLUTIONS IN DELAYED CELLULAR NEURAL NETWORKS
cites work: Existence of traveling wave solutions in nonlinear delayed cellular neural networks
cites work: Existence, uniqueness and stability of travelling waves in a discrete reaction --- diffusion monostable equation with delay
cites work: Propagation and its failure in a lattice delayed differential equation with global interaction
cites work: Traveling fronts in monostable equations with nonlocal delayed effects
cites work: Entire solutions in bistable reaction-diffusion equations with nonlocal delayed nonlinearity
cites work: DEFORMATION OF TRAVELING WAVES IN DELAYED CELLULAR NEURAL NETWORKS
cites work: Traveling fronts and entire solutions in partially degenerate reaction-diffusion systems with monostable nonlinearity
cites work: Traveling waves for nonlinear cellular neural networks with distributed delays
cites work: Monotonicity and uniqueness of traveling waves for a reaction-diffusion model with a quiescent stage
DOI: 10.1016/J.JMAA.2015.09.021
description: scientific article; zbMATH DE number 6506818