Global Behavior of the Max-Type Difference Equation xn+1=max⁡{1/xn,An/xn−1}

Global Behavior of the Max-Type Difference Equation xn+1=max⁡{1/xn,An/xn−1}

We study global behavior of the following max-type difference equation xn+1=max⁡{1/xn,An/xn−1}, n=0,1,…, where {An}n=0∞ is a sequence of positive real numbers with 0≤inf⁡An≤sup⁡An<1. The special case when {An}n=0∞ is a periodic sequence with period k and An∈(0,1) for every n≥0 has been completely...

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Bibliographic Details
Main Authors: Taixiang Sun, Bin Qin, Hongjian Xi, Caihong Han
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2009/152964
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