Solution for systems of difference equations of rational form of order two

EM Elsayed - Computational and Applied Mathematics, 2014 - Springer
In this paper, we deal with the existence of solutions and the periodicity character of the
following systems of rational difference equations with order two x_ n+ 1= x_ n y_ n-1 y …

Dynamics of a discrete Lotka-Volterra model

Q Din - Advances in Difference Equations, 2013 - Springer
In this paper, we study the equilibrium points, local asymptotic stability of equilibrium points,
and global behavior of equilibrium points of a discrete Lotka-Volterra model given by xn+ 1 …

On the periodicity of some systems of nonlinear difference equations

N Touafek, EM Elsayed - Bulletin mathématique de la Société des Sciences …, 2012 - JSTOR
On the periodicity of some systems of nonlinear difference equations Page 1 Bull. Math. Soc.
Sci. Math. Roumanie Tome 55(103) No. 2, 2012, 217-224 On the periodicity of some …

[PDF][PDF] Periodicity and solutions for some systems of nonlinear rational difference equations

EM Elsayed, TF Ibrahim - Hacettepe Journal of Mathematics and …, 2015 - dergipark.org.tr
In this paper, we investigated the periodic nature and the form of the solutions of nonlinear di􏳸
erence equations systems of order three x_ n+ 1= x_ n-2 y_ n-1 y_n (± 1 ± x_ n-2 y_ n-1), y …

On the solutions of two special types of Riccati difference equation via Fibonacci numbers

DT Tollu, Y Yazlik, N Taskara - Advances in Difference Equations, 2013 - Springer
On the solutions of two special types of Riccati difference equation via Fibonacci numbers |
Advances in Continuous and Discrete Models Skip to main content SpringerLink Account Menu …

On some solvable difference equations and systems of difference equations

S Stević, J Diblík, B Iričanin… - Abstract and Applied …, 2012 - Wiley Online Library
On Some Solvable Difference Equations and Systems of Difference Equations - Stević - 2012 -
Abstract and Applied Analysis - Wiley Online Library Skip to Article Content Skip to Article …

Dynamic behavior of a second-order nonlinearrational difference equation

Y Halim, N Touafek, Y Yazlik - Turkish Journal of Mathematics, 2015 - journals.tubitak.gov.tr
This paper deals with the global attractivity of positive solutions of the second-order
nonlinear difference equation\begin {equation*} x_ {n+ 1}=\frac {ax_ {n}^{k}+ …

[PDF][PDF] On a third order rational difference equation with variable coefficients

TF Ibrahim, N Touafek - Dyn. Contin. Discrete Impuls. Syst. Ser. B …, 2013 - academia.edu
Difference equations is diverse field which impact almost every branch of pure and applied
mathematics. Difference equations enter as approximations of continuous problems and as …

[PDF][PDF] Dynamics of a three‐dimensional systems of rational difference equations

EM Elsayed, AM Ahmed - Mathematical Methods in the Applied …, 2016 - researchgate.net
Recently, there has been great interest in studying difference equation systems. One of the
reasons for this is a necessity for some techniques that can be used in investigating …

On the solutions of a second-order difference equation in terms of generalized Padovan sequences

Y Halim, JFT Rabago - Mathematica Slovaca, 2018 - degruyter.com
This paper deals with the solution, stability character and asymptotic behavior of the rational
difference equation xn+ 1= α xn− 1+ β γ xnxn− 1, n∈ N 0, where ℕ0= ℕ∪{0}, α, β, γ∈ ℝ+ …