49 citations · 94 across the 23 of their papers we have counts for
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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…
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}}…
On Two Nonlinear Difference Equations
Julius Fergy T. Rabago, Jerico B. Bacani
The behavior of solutions of the following nonlinear difference equations \[ x_{n+1}=\displaystyle\frac{q}{p+x_n^ν} \quad \text{and} \quad y_{n+1}=\displaystyle\frac{q}{-p+y_n^ν},…
Effective Methods on Determining the Periodicity and Form of Solutions of Some Systems of Nonlinear Difference Equations
Julius Fergy T. Rabago
Recently, various systems of nonlinear difference equations, of different forms, were studied. In this existing work, two earlier published papers, due respectively to Bayram and D…
On an Open Question Concerning Product-Type Difference Equations
Julius Fergy Tiongson Rabago
In [Acta Math. Univ. Comenianae Vol. LXXX, 1 (2011), pp. 63--70], Yang, Chen and Shi examined the system of difference equations \[ x_n=\frac{a}{y_{n-p}},\qquad y_n=\frac{by_{n-p}}…