Uniqueness and stability of traveling waves for periodic monostable lattice dynamical system
type: Item
instance of: scholarly article
title: Uniqueness and stability of traveling waves for periodic monostable lattice dynamical system
zbMATH Open document ID: 1202.34024
author: Jong-Shenq Guo
author: Chin-Chin Wu
published in: Journal of Differential Equations
publication date: 2009-05-19T00:00:00Z
review text: The authors study the traveling waves for a lattice dynamical system with monostable nonlinearity in a periodic medium. It is well known that there exists a minimal wave speed such that a traveling wave exists if and only if the wave speed is above this minimal wave speed. The present paper derives a stability theorem for certain waves of non-minimal speed and shows that wave profiles of a given speed are unique up to translations.
reviewed by: Caidi Zhao
Mathematics Subject Classification ID: 34A33
Mathematics Subject Classification ID: 34B40
Mathematics Subject Classification ID: 35C07
zbMATH DE Number: 5555282
zbMATH Keywords: lattice dynamical system
zbMATH Keywords: monostable
zbMATH Keywords: traveling wave
zbMATH Keywords: wave speed
zbMATH Keywords: wave profile
MaRDI profile type: Publication
full work available at URL: j.jde.2009.03.010
OpenAlex ID: W2042278393
cites work: Traveling Waves of Bistable Dynamics on a Lattice
cites work: Uniqueness and Asymptotics of Traveling Waves of Monostable Dynamics on Lattices
cites work: Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations
cites work: Uniqueness and existence of traveling waves for discrete quasilinear monostable dynamics
cites work: Traveling waves in discrete periodic media for bistable dynamics
cites work: Traveling waves in lattice dynamical systems
cites work: Q4189096
cites work: The approach of solutions of nonlinear diffusion equations to travelling front solutions
cites work: Q3837528
cites work: Q4869155
cites work: The Fredholm alternative for functional-differential equations of mixed type
cites work: The global structure of traveling waves in spatially discrete dynamical systems
cites work: Asymptotic and periodic boundary value problems of mixed FDEs and wave solutions of lattice differential equations
cites work: Stability of Traveling Wavefronts for the Discrete Nagumo Equation
cites work: Existence of traveling wavefront solutions for the discrete Nagumo equation
cites work: Traveling wavefronts for the discrete Fisher's equation
DOI: 10.1016/J.JDE.2009.03.010
description: scientific article; zbMATH DE number 5555282