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Global behavior of a higher-order rational difference equation

Abstract

We investigate in this paper the global behavior of the following difference equation: , n = 0,1,..., under appropriate assumptions, where b [0, ∞), k ≥ 1, i0, i1,...,i2k {0,1,...} with i0 <i1 < ... <i2k, the initial conditions . We prove that unique equilibrium of that equation is globally asymptotically stable.

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Correspondence to Hongjian Xi or Taixiang Sun.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Xi, H., Sun, T. Global behavior of a higher-order rational difference equation. Adv Differ Equ 2006, 027637 (2006). https://doi.org/10.1155/ADE/2006/27637

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  • DOI: https://doi.org/10.1155/ADE/2006/27637

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