Discrete Dynamics in Nature and Society
Volume 2004 (2004), Issue 2, Pages 301-306
Nonlinear Volterra difference equations in space
1Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel
2Departamento de Ciencias Exactas, Universidad de Los Lagos, Osorno Casilla 933, Chile
Received 4 December 2003
Copyright © 2004 Michael I. Gil' and Rigoberto Medina. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We consider a class of vector nonlinear discrete-time Volterra
equations in space and derive estimates for the norms of
solutions. These estimates give us explicit stability conditions,
which allow us to avoid finding Lyapunov functionals.