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.

Podrobná bibliografie
Hlavní autoři: Michael I. Gil', Rigoberto Medina
Médium: Článek
Jazyk:English
Vydáno: Wiley 2004-01-01
Edice:Discrete Dynamics in Nature and Society
On-line přístup:http://dx.doi.org/10.1155/S1026022604312021
Popis
Shrnutí: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