Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Dynamics of Recursive Sequence of Order Two

  • Elsayed, Elsayed Mohammed (King AbdulAziz University, Faculty of Science, Mathematics Department, Department of Mathematics, Faculty of Science, Mansoura University)
  • Received : 2010.04.04
  • Accepted : 2010.12.08
  • Published : 2010.12.31
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Abstract

In this paper we study some qualitative behavior of the solutions of the difference equation $x_{n+1}=ax_n=\frac{bx_n}{cx_n-dx_{n-1}}$, n=0,1,$\ldots$, where the initial conditions x-1, x0 are arbitrary real numbers and a, b, c, d are positive constants with $cx_0-dx_{-1}\neq0$.

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References

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