Open Access

On nonautonomous discrete dynamical systems driven by means

Advances in Difference Equations20062006:043470

DOI: 10.1155/ADE/2006/43470

Received: 27 March 2006

Accepted: 14 June 2006

Published: 27 September 2006

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).

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Authors’ Affiliations

(1)
Department of Basic Sciences, University of Sharjah

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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.