Abstract
In this paper, we determine and study the behavior of all admissible solutions of the difference equation $$x_{n+1}=\frac{x_{n}x_{n-2}}{ax_{n-2}+ bx_{n-3}},\quad n=0,1,\ldots,$$ where $a,b$ are positive real numbers and the initial conditions $ x_{-3},x_{-2},x_{-1},x_0$ are real numbers. We show when $a=b=1$ that, every admissible solution converges to $0$.
Citation
R. Abo-Zeid. "On a fourth order rational difference equation." Tbilisi Math. J. 12 (4) 71 - 79, October 2019. https://doi.org/10.32513/tbilisi/1578020568
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