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On nonautonomous discrete dynamical systems driven by means

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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Correspondence to Raghib M Abu-Saris.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Abu-Saris, R.M. On nonautonomous discrete dynamical systems driven by means. Adv Differ Equ 2006, 043470 (2006). https://doi.org/10.1155/ADE/2006/43470

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Keywords

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