Volume 29, Issue 5 982363 pp. 257-264
Article
Open Access

Asymptotic behavior of the solutions of a discrete reaction-diffusion equation

Rigoberto Medina

Rigoberto Medina

Departamento de Ciencias Exactas Universidad de Los Lagos Casilla 933 Osorno, Chile , ulagos.cl

Search for more papers by this author
Sui Sun Cheng

Sui Sun Cheng

Department of Mathematics Tsing Hua University Hsinchu Taiwan 30043, China , tsinghua.edu.cn

Search for more papers by this author
First published: 01 February 2002

Abstract

By means of Bihari type inequalities, we derive sufficient conditions for solutions of a discrete reaction-diffusion equation to be bounded or to converge to zero. Asymptotic representation of solutions are also derived. Our results yield estimates and explicit attractive regions for the solutions.

The full text of this article hosted at iucr.org is unavailable due to technical difficulties.