243 citations
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Showing 2016 · math.DSShow all
2 papers · 2 filters
math.DS2016★ 49 cited
On the solutions of a second-order difference equations in terms of generalized Padovan sequences
Yacine Halim, Julius Fergy T. Rabago
This paper deals with the solution, stability character and asymptotic behavior of the rational difference equation \begin{equation*} x_{n+1}=\frac{αx_{n-1}+β}{ γx_{n}x_{n-1}},\qqu…
math.DS2016★ 22 cited
Solution Form of a Higher Order System of Difference Equation and Dynamical Behavior of Its Special Case
Nabila Haddad, Nouressadat Touafek, Julius Fergy T. Rabago
The solution form of the system of nonlinear difference equations \begin{equation*} x_{n+1} = \frac{x_{n-k+1}^{p}y_{n}}{a y_{n-k}^{p}+b y_{n}},\ y_{n+1} = \frac{y_{n-k+1}^{p}x_{n}}…