International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 5, Pages 257-264
doi:10.1155/S0161171202012656
Asymptotic behavior of the solutions of a discrete reaction-diffusion equation
Rigoberto Medina1
and Sui Sun Cheng2
1Departamento de Ciencias Exactas, Universidad de Los Lagos, Casilla 933, Osorno, Chile
2Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043, China
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.