Asymptotic Behavior of Solutions for Nonlinear Volterra Discrete Equations

We consider nonlinear difference equations of unbounded order of the form xi=bi−∑j=0iai,jfi−j(xj),  i=0,1,2,…, where fj(x)  (j=0,…,i) are suitable functions. We establish sufficient conditions for the boundedness and the convergence of xi as i→+∞. Some of these conditions are interesting mainly for...

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Bibliographic Details
Main Authors: E. Messina, Y. Muroya, E. Russo, A. Vecchio
Format: Article
Language:English
Published: Hindawi Limited 2008-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2008/867623