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Tarek F. Ibrahim, Abdul Khaliq, Burak Ogul, Behavior of a third order nonlinear generalized rational recursive sequence, Eur. J. Math. Appl. 3 (2023), Article ID 7.

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Volume 3 (2023), Article ID 7

https://doi.org/10.28919/ejma.2023.3.7

Published: 15/05/2023

Abstract:

In this paper, we investigate the global stability, boundedness of solutions of the recursive sequence
$$
J_{n+1}^{{}}=a_{0}J_{n}^{{}}+a_{1}J_{n-1}^{{}}+a_{2}J_{n-2}^{{}}+\frac{J_{n} J_{n-2}}{b_{0}J_{n}+b_{1}J_{n-1}+b_{2}J_{n-2}}, \;n=0,1,…
$$
where $a_{i}$ and $b_{i}\in (0,\infty)$, $i=0,1,2$ with the initial conditions $J_{-2},J_{-1},$ and $J_{0}\in (0,\infty)$.

How to Cite:

Tarek F. Ibrahim, Abdul Khaliq, Burak Ogul, Behavior of a third order nonlinear generalized rational recursive sequence, Eur. J. Math. Appl. 3 (2023), Article ID 7. https://doi.org/10.28919/ejma.2023.3.7