Travelling wave fronts of scalar reaction-diffusion equations with and without delays
type: Item
instance of: scholarly article
title: Travelling wave fronts of scalar reaction-diffusion equations with and without delays
zbMATH Open document ID: 1019.35046
DOI: 10.1016/S1468-1218(02)00020-2
author: Jianhong Wu
author: K. Q. Lan
published in: Nonlinear Analysis. Real World Applications
publication date: 2003-03-11T00:00:00Z
review text: The paper deals with the existence of traveling wave fronts for scalar nonlinear reaction-diffusion equations with and without delays in the one-dimensional space. An iterative technique for a class of Hammerstein integral operators is applied.
reviewed by: Stepan Agop Tersian
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 47H30
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 35A18
Mathematics Subject Classification ID: 35R10
zbMATH DE Number: 1880150
zbMATH Keywords: one space dimension
zbMATH Keywords: Hammerstein integral operators
MaRDI profile type: Publication
cites work: Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
cites work: Q4089232
cites work: Deterministic epidemic waves
cites work: Travelling fronts in cylinders
cites work: Maximal displacement of branching brownian motion
cites work: On Traveling Wave Solutions of Fisher's Equation in Two Spatial Dimensions
cites work: Q3738973
cites work: Q4189096
cites work: The approach of solutions of nonlinear diffusion equations to travelling front solutions
cites work: Existence and stability of travelling wave solutions of competition models. A degree theoretic approach
cites work: Q3994493
cites work: On the semilinear heat equations with time-lag
cites work: Multiple positive solutions of Hammerstein integral equations with singularities
cites work: Multiple Positive Solutions of Semilinear Differential Equations with Singularities
cites work: Positive solutions of semilinear differential equations with singularities
cites work: Transient Bounds and Time-Asymptotic Behavior of Solutions to Nonlinear Equations of Fisher Type
cites work: On the nonlinear diffusion equation of Kolmogorov, Petrovskij, and Piscunov
cites work: Q4041085
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: Q3994920
cites work: Q3135823
cites work: Mathematical modelling of capsule formation and multinodularity in benign tumour growth
cites work: Q3755692
cites work: Convergence to travelling fronts in semilinear parabolic equations
cites work: Asymptotic Behavior and Traveling Wave Solutions for Parabolic Functional Differential Equations
cites work: Traveling Wave Solutions of a Mathematical Model for Tumor Encapsulation
cites work: On two types of moving front in quasilinear diffusion
cites work: Q4039956
cites work: The behavior of solutions of some non-linear diffusion equations for large time
cites work: Construction of the Leray-Schauder degree for elliptic operators in unbounded domains
cites work: Existence of traveling wave fronts in delayed reaction-diffusion systems via the monotone iteration method
cites work: Traveling wave fronts of reaction-diffusion systems with delay
description: scientific article; zbMATH DE number 1880150