Kyungpook Mathematical Journal

  • 제50권1호
  • /
  • Pages.153-164
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  • 2010
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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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The Dynamics of Solutions to the Equation $x_{n+1}=\frac{p+x_{n-k}}{q+x_n}+\frac{x_{n-k}}{x_n}$

  • Xu, Xiaona (Department of Mathematics, Sun Yat-Sen University) ;
  • Li, Yongjin (Department of Mathematics, Sun Yat-Sen University)
  • 투고 : 2009.07.06
  • 심사 : 2009.10.09
  • 발행 : 2010.03.31
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초록

We study the global asymptotic stability, the character of the semicycles, the periodic nature and oscillation of the positive solutions of the difference equation $x_{n+1}=\frac{p+x_{n-k}}{q+x_n}+\frac{x_{n-k}}{x_n}$, n=0, 1, 2, ${\cdots}$. where p, q ${\in}$ (0, ${\infty}$), q ${\neq}$ 2, k ${\in}$ {1, 2, ${\cdots}$} and the initial values $x_{-k}$, ${\cdots}$, $x_0$ are arbitrary positive real numbers.

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참고문헌

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