Advances in Difference Equations

, 2006:027637 | Cite as

Global behavior of a higher-order rational difference equation

  • Hongjian Xi
  • Taixiang Sun
Open Access
Research Article


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


Differential Equation Partial Differential Equation Ordinary Differential Equation Functional Analysis Functional Equation 
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Copyright information

© H. Xi and T. Sun. 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Authors and Affiliations

  1. 1.Department of MathematicsGuangxi College of Finance and EconomicsNanningChina

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