Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Behavior of Solutions of a Fourth Order Difference Equation

  • Abo-Zeid, Raafat (Department of Basic Science, The Valley Higher Institute for Engineering & Technology)
  • Received : 2015.11.05
  • Accepted : 2016.02.05
  • Published : 2016.06.23
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Abstract

In this paper, we introduce an explicit formula for the solutions and discuss the global behavior of solutions of the difference equation $$x_{n+1}={\frac{ax_{n-3}}{b-cx_{n-1}x_{n-3}}}$$, $n=0,1,{\ldots}$ where a, b, c are positive real numbers and the initial conditions $x_{-3}$, $x_{-2}$, $x_{-1}$, $x_0$ are real numbers.

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References

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Cited by

  1. Existence of Solutions to Boundary Value Problems for a Fourth-Order Difference Equation vol.2018, pp.1607-887X, 2018, https://doi.org/10.1155/2018/5278095