Abstract
In this paper we investigate the global convergence result, boundedness, and periodicity of solutions of the recursive sequence
\begin{equation*} x_{n+1}=ax_{n}+\dfrac{bx_{n-l}+cx_{n-k}}{dx_{n-l}+ex_{n-k}},\;\;\;n=0,1,..., \end{equation*}
where the parameters $a,b,c,d\;$and$\;e\;$are positive real numbers and the initial conditions $x_{-k},x_{-k+1},...,x_{-l},x_{-l+1},...,x_{-1}$ and $x_{0}\;$are positive real numbers.
Citation
E. M. Elsayed. "On the Dynamics of a Higher-Order Rational Recursive Sequence." Commun. Math. Anal. 12 (1) 117 - 133, 2012.
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