Advances in Difference Equations
Volume 2006 (2006), Article ID 43470, 7 pages
doi:10.1155/ADE/2006/43470

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): yj(n+1)=Fj(n,y(n)); j=1,…,k,n=0,1,2,…, where y(n)=(y1(n),…,yk(n))∈ℝk, y(0)=x, and Fj(n,⋅) is a mean of k (≥2) positive real numbers, that is, a real-valued function satisfying the internality property min(x)≤Fj(n,x)≤max(x).