Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ON THE RECURSIVE SEQUENCE $x_{n+1}=\frac{a+bx_{n-1}}{A+Bx^k_n}$

  • Ahmed, A. M. (Mathematics Department, Faculty of Science, Al-Azhar University) ;
  • El-Owaidy, H. M. (Mathematics Department, Faculty of Science, Cairo University) ;
  • Hamza, Alaa E. (Mathematics Department, Faculty of Science, Cairo University) ;
  • Youssef, A. M. (Department of Basic Science, Faculty of Engineering, Misr University for Science and Technology)
  • Published : 2009.01.31
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Abstract

In this paper, we investigate the global behavior of the difference equation $x_{n+1}\;=\;\frac{a+bx_{n-1}}{A+Bx^k_n}$, n=0,1,..., where a,b,$B\;{\in}\;[0,\infty)$ and A, $k\;{\in}\;(0,\infty)$ with non-negative initial conditions.

Keywords

References

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