TITLE

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

AUTHOR(S)
Taixiang Sun; Bin Qin; Hongjian Xi; Caihong Han
PUB. DATE
January 2009
SOURCE
Abstract & Applied Analysis;2009, Special section p1
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
We study global behavior of the following max-type difference equation xn+1 = max(1/xn,An/xn-1), n = 0, 1, . . . , where (An)âˆžn=0 is a sequence of positive real numbers with 0 = infAn = supAn < 1. The special case when (An)âˆžn=0 is a periodic sequence with period k and An âˆˆ (0, 1) for every n â‰¥ 0 has been completely investigated by Y. Chen. Here we extend his results to the general case.
ACCESSION #
55252775

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