Discrete Dynamics in Nature and Society
Volume 2004 (2004), Issue 2, Pages 301-306
doi:10.1155/S1026022604312021
Nonlinear Volterra difference equations in space lp
Michael I. Gil1
and Rigoberto Medina2
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
Abstract
We consider a class of vector nonlinear discrete-time Volterra equations in space lp and derive estimates for the norms of solutions. These estimates give us explicit stability conditions, which allow us to avoid finding Lyapunov functionals.