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Advances in Continuous and Discrete Models

Theory and Modern Applications

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The Periodic Character of the Difference Equation

Advances in Difference Equations volume 2008, Article number: 143723 (2007) Cite this article

Abstract

In this paper, we consider the nonlinear difference equation , , where with and and the initial values with . We give sufficient conditions under which every positive solution of this equation converges to a ( not necessarily prime ) 2-periodic solution, which extends and includes corresponding results obtained in the recent literature.

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Authors and Affiliations

  1. Department of Mathematics, College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China

    Taixiang Sun

  2. Department of Mathematics, Guangxi College of Finance and Economics, Nanning, Guangxi, 530003, China

    Hongjian Xi

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  1. Taixiang Sun
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  2. Hongjian Xi
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Correspondence to 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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Sun, T., Xi, H. The Periodic Character of the Difference Equation . Adv Differ Equ 2008, 143723 (2007). https://doi.org/10.1155/2008/143723

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  • DOI: https://doi.org/10.1155/2008/143723

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