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2009 Global Behavior of the Max-Type Difference Equation xn+1=max{1/xn,An/xn1}
Taixiang Sun, Bin Qin, Hongjian Xi, Caihong Han
Abstr. Appl. Anal. 2009(none): 1-10 (2009). DOI: 10.1155/2009/152964

Abstract

We study global behavior of the following max-type difference equation xn+1=max{1/xn,An/xn1}, n=0,1,, where {An}n=0 is a sequence of positive real numbers with 0infAnsupAn<1. The special case when {An}n=0 is a periodic sequence with period k and An(0,1) for every n0 has been completely investigated by Y. Chen. Here we extend his results to the general case.

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Taixiang Sun. Bin Qin. Hongjian Xi. Caihong Han. "Global Behavior of the Max-Type Difference Equation xn+1=max{1/xn,An/xn1}." Abstr. Appl. Anal. 2009 1 - 10, 2009. https://doi.org/10.1155/2009/152964

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Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1167.39303
MathSciNet: MR2506993
Digital Object Identifier: 10.1155/2009/152964

Rights: Copyright © 2009 Hindawi

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