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http://dx.doi.org/10.14317/jami.2014.599

ON THE DYNAMICS OF $x_{n+1}=\frac{a+x_{n-1}x_{n-k}}{x_{n-1}+x_{n-k}}$  

Ahmed, A.M. (Mathematics Department, Faculty of Science, Al-Azhar University)
Publication Information
Journal of applied mathematics & informatics / v.32, no.5_6, 2014 , pp. 599-607 More about this Journal
Abstract
In this paper, we investigate the behavior of solutions of the difference equation $$x_{n+1}=\frac{a+x_{n-1}x_{n-k}}{x_{n-1}+x_{n-k}},\;n=0,1,2,{\ldots}$$ where $k{\in}\{1,2\}$, $a{\geq}0$, and $x_{-j}$ > 0, $j=0,1,{\ldots},k$.
Keywords
Difference equations; Stability; Oscillation;
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Times Cited By KSCI : 1  (Citation Analysis)
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