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  • Research Article
  • Open Access

Global behavior of a higher-order rational difference equation

Advances in Difference Equations20062006:027637

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

  • Received: 17 January 2006
  • Accepted: 12 April 2006
  • Published:

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.

Keywords

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

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Authors’ Affiliations

(1)
Department of Mathematics, Guangxi College of Finance and Economics, Nanning, Guangxi, 530004, China

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