Michael I. Gil', Rigoberto Medina, "Nonlinear Volterra difference equations in space lp", Discrete Dynamics in Nature and Society, vol. 2004, Article ID 520905, 6 pages, 2004. https://doi.org/10.1155/S1026022604312021
Nonlinear Volterra difference equations in space lp
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.
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