Kyungpook Mathematical Journal

  • 제56권2호
  • /
  • Pages.507-516
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  • 2016
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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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)
  • 투고 : 2015.11.05
  • 심사 : 2016.02.05
  • 발행 : 2016.06.23
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초록

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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참고문헌

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피인용 문헌

  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