Nonlinear Volterra difference equations in space lp

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.

Bibliographic Details
Main Authors: Michael I. Gil', Rigoberto Medina
Format: Article
Language:English
Published: Wiley 2004-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/S1026022604312021
Description
Summary: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.
ISSN:1026-0226
1607-887X