Asymptotic behavior of the solutions of a discrete reaction-diffusion equation
type: Item
instance of: scholarly article
title: Asymptotic behavior of the solutions of a discrete reaction-diffusion equation
zbMATH Open document ID: 1002.39015
DOI: 10.1155/S0161171202012656
author: Rigoberto Medina
author: Sui Sun Cheng
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2002-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/49635
full work available at URL: S0161171202012656.html
review text: By means of Bihari type inequalities, the authors derive sufficient conditions for solutions of a discrete reaction-diffusion equation to be bounded or to converge to zero. Asymptotic representation of solutions is also obtained. The results yield estimates and explicit attractive regions for the solutions.
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 1780339
zbMATH Keywords: discrete reaction-diffusion equations
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: bounded solution
zbMATH Keywords: convergence
zbMATH Keywords: Bihari type inequalities
zbMATH Keywords: attractive regions
reviewed by: V. Lakshmikantham
MaRDI profile type: Publication
OpenAlex ID: W1999957687
description: scientific article; zbMATH DE number 1780339