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On the system of rational difference equations xn+1 = f(yn-q, xn-s), yn+1 = g(xn-t, yn-p)

Advances in Difference Equations volume 2006, Article number: 051520 (2006) Cite this article

Abstract

We study the global behavior of positive solutions of the system of rational difference equations xn+1 = f(yn-q, xn-s), yn+1 = g(xn-t, yn-p), n = 0,1,2,..., where p, q, s, t ∈ {0,1,2,...} with s ≥ t and p ≥ q, the initial values x-s, x-s+1,...,x0, y-p, y-p+1,...y0 ∈ (0,+∞). We give sufficient conditions under which every positive solution of this system converges to the unique positive equilibrium.

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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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Sun, T., Xi, H. On the system of rational difference equations xn+1 = f(yn-q, xn-s), yn+1 = g(xn-t, yn-p). Adv Differ Equ 2006, 051520 (2006). https://doi.org/10.1155/ADE/2006/51520

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  • DOI: https://doi.org/10.1155/ADE/2006/51520

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Functional Equation