Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

ON THE RECURSIVE SEQUENCE X_{n+1} = $\alpha$ - (X_n/X_n-1)

  • YAN XING XUE (Department of Mathematics, Hexi University) ;
  • LI WAN TONG (Department of Mathematics, Lanzhou University) ;
  • ZHAO ZHU (Department of Mathematics, Hexi University)
  • Published : 2005.01.01

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Abstract

We study the global asymptotic stability, global attractivity, boundedness character, and periodic nature of all positive solutions and all negative solutions of the difference equation $$x_{n+1}\;=\;{\alpha}-{\frac{x_{n-1}}{x_{n}},\;n=0,1,\;{\cdots}$$, where ${\alpha}\;\in\; R$ is a real number, and the initial conditions $x_{-1},\;x_0$ are arbitrary real numbers.

Keywords