Asymptotic Behavior of Solutions for Nonlinear Volterra Discrete Equations

E. Messina, Y. Muroya, E. Russo and A. Vecchio

Discrete Dynamics in Nature and Society, 2008, vol. 2008, 1-18

Abstract:

We consider nonlinear difference equations of unbounded order of the form , where are suitable functions. We establish sufficient conditions for the boundedness and the convergence of as . Some of these conditions are interesting mainly for studying stability of numerical methods for Volterra integral equations.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:867623

DOI: 10.1155/2008/867623

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