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Global behavior of a higher order difference equation

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Mathematica Slovaca

Abstract

The aim of this paper is to investigate the global stability and periodic nature of the positive solutions of the difference equation

$$x_{n + 1} = \frac{{A + Bx_{n - 2k - 1} }} {{C + D\prod\limits_{i = 1}^k {x_{n - 2i} } }}, n = 0,1,2, \ldots ,$$

where A, B are nonnegative real numbers, C,D > 0 and l, k are nonnegative integers such that l ≤ k.

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Authors and Affiliations

  1. Department of Mathematics College of Science & Arts — Rabigh, King AbdullAziz University, Rabigh, 21911, Saudi Arabia

    R. Abo-Zeid

Authors
  1. R. Abo-Zeid
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Correspondence to R. Abo-Zeid.

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Communicated by Michal Fečkan

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Abo-Zeid, R. Global behavior of a higher order difference equation. Math. Slovaca 64, 931–940 (2014). https://doi.org/10.2478/s12175-014-0249-z

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  • DOI: https://doi.org/10.2478/s12175-014-0249-z

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