Qualitative study of a second order difference equation

M Berkal, JF Navarro - Turkish Journal of Mathematics, 2023 - journals.tubitak.gov.tr
In this paper, we study a second order rational difference equation. We analyze the stability
of the unique positive equilibrium of the equation and prove the existence of a Neimark …

Solvability of a third-order system of nonlinear difference equations via a generalized Fibonacci sequence

H Hamioud, I Dekkar, N Touafek - Miskolc Mathematical Notes, 2024 - real.mtak.hu
In this paper, we solve in closed-form the following third-order system of nonlinear difference
equations x_ {n+ 1}=(y_ny_ {n-1} x^ p_ {n-1})/(x_ {n}(a_n y^ q_ {n-2}+ b_n y_n y_ {n-1})), y …

On a system of difference equations defined by the product of separable homogeneous functions

M Boulouh, N Touafek, DT Tollu - Mathematica Slovaca, 2023 - degruyter.com
In this work, we present results on the stability, the existence of periodic and oscillatory
solutions of a general second order system of difference equations defined by the product of …

Dynamic behavior of a third-order system of difference equations

NP Mai - Boletín de la Sociedad Matemática Mexicana, 2024 - Springer
In this paper, we investigate the global behavior of positive solutions of the system of
difference equations xn+ 1= γ+ xn-2 pynp, yn+ 1= γ+ yn-2 qxnq, n= 0, 1, 2,… where …

[PDF][PDF] On a conjecture for the difference equation xn= 1+ pxn− m

GL Karakostas - equilibrium, 2023 - aimspress.com
On a conjecture for the difference equation $x_{n+1}=1+p\frac{x_{nm}}{x_n^2}$ Page 1 http://www.aimspress.com/journal/Math
AIMS Mathematics, 8(10): 22714–22729. DOI: 10.3934/math.20231156 Received: 27 April …

Global behavior of positive solutions of a third order difference equations system

MN Phong - arXiv preprint arXiv:2108.05534, 2021 - arxiv.org
\begin {abstract} In this paper, we consider the following system of difference
equations\begin {equation*} x_ {n+ 1}=\alpha+\dfrac {y_ {n}^ p}{y_ {n-2}^ p},\y_ {n+ …