Existence, uniqueness and stability of the stationary solution to a nonlocal evolution equation arising in population dispersal
type: Item
instance of: scholarly article
title: Existence, uniqueness and stability of the stationary solution to a nonlocal evolution equation arising in population dispersal
zbMATH Open document ID: 1114.35017
author: G. Zhao
author: Peter W. Bates
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-05-23T00:00:00Z
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 35A05
zbMATH DE Number: 5156436
zbMATH Keywords: resolvent positive operator
zbMATH Keywords: principal eigenvalue
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.09.007
OpenAlex ID: W1969242831
cites work: Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
cites work: A priori bounds and multiple solutions for superlinear indefinite elliptic problems
cites work: Spectral analysis of traveling waves for nonlocal evolution equations
cites work: An integrodifferential model for phase transitions: stationary solutions in higher space dimensions
cites work: Q4260831
cites work: The evolution of slow dispersal rates: a reaction diffusion model
cites work: Q5565769
cites work: Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear elliptic equations
cites work: Global asymptotics in some quasimonotone reaction-diffusion systems with delays
cites work: Can spatial variation alone lead to selection for dispersal?
cites work: Geometric theory of semilinear parabolic equations
cites work: Uniqueness of the bistable traveling wave for mutualist species
cites work: Competing Species near a Degenerate Limit
cites work: The evolution of dispersal
cites work: The Fredholm alternative for functional-differential equations of mixed type
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Q5609622
cites work: Q4834372
cites work: Remarks on resolvent positive operators and their perturbation
cites work: Applied functional analysis. Main principles and their applications
DOI: 10.1016/J.JMAA.2006.09.007
description: scientific article; zbMATH DE number 5156436