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  • Research Article
  • Open Access

On nonautonomous discrete dynamical systems driven by means

Advances in Difference Equations20062006:043470

https://doi.org/10.1155/ADE/2006/43470

  • Received: 27 March 2006
  • Accepted: 14 June 2006
  • Published:

Abstract

We investigate the asymptotic behavior of nonautonomous discrete dynamical systems governed by the system of difference equations (recursive equations): y j (n+1) = F j (n,y,(n)); j = 1,...,k, n = 0,1,2,..., where y(n) = (y1(n),...,y k (n)) k , y(0) = x, and F j (n,·) is a mean of k (≥ 2) positive real numbers, that is, a real-valued function satisfying the internality property min(x) ≤ F j (n,x) ≤ max(x).

Keywords

  • Differential Equation
  • Dynamical System
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis

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Authors’ Affiliations

(1)
Department of Basic Sciences, University of Sharjah, P.O. Box 27272, Sharjah, United Arab Emirates

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Copyright

© Raghib M. Abu-Saris 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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