Authors: Stević, Stevo 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: On the recursive sequence xn + 1 = max {c, frac(xnp, xn - 1p)}
Journal: Applied Mathematics Letters
Volume: 21
Issue: 8
First page: 791
Last page: 796
Issue Date: 1-Aug-2008
Rank: M22
ISSN: 0893-9659
DOI: 10.1016/j.aml.2007.08.008
Abstract: 
This work studies the boundedness and global attractivity for the positive solutions of the difference equation xn + 1 = max {c, frac(underover(x, n, p), underover(x, n - 1, p))}, n ∈ N0, with p, c ∈ (0, ∞). It is shown that: (a) there exist unbounded solutions whenever p ≥ 4, (b) all positive solutions are bounded when p ∈ (0, 4), (c) every positive solution is eventually equal to 1 when p ∈ (0, 4) and c ≥ 1, (d) all positive solutions converge to 1 whenever p, c ∈ (0, 1).
Keywords: Boundedness | Difference equation | Global attractivity | Max type difference equations
Publisher: Elsevier

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