Nonlinear volterra difference equations in space lp

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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. Copyright © 2004 Hindawi Publishing Corporation.

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Gil, M. I., & Medina, R. (2004). Nonlinear volterra difference equations in space lp. Discrete Dynamics in Nature and Society, 2004(2), 301–306. https://doi.org/10.1155/S1026022604312021

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