Solution and attractivity for a rational recursive sequence

EM Elsayed - Discrete Dynamics in Nature and Society, 2011 - Wiley Online Library
This paper is concerned with the behavior of solution of the nonlinear difference equation
xn+ 1= axn− 1+ bxnxn− 1/(cxn+ dxn− 2), n= 0, 1,…, where the initial conditions x− 2, x− 1, x0 …

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 …

[PDF][PDF] On the difference equation xn 1 α βxn− 1e− xn

H El-Metwally, EA Grove, G Ladas… - … : Theory, Methods & …, 2001 - researchgate.net
On the Difference Equation Page 1 On the Difference Equation xn+1 = α + βxn−1e −xn H. El-Metwally,
EA Grove, G. Ladas, M. Radin Department of Mathematics, University of Rhode Island …

Global stability of a third-order nonlinear system of difference equations with period-two coefficients

I Dekkar, N Touafek, Y Yazlik - Revista de la Real Academia de Ciencias …, 2017 - Springer
The main objective of this paper is to study the global behavior of the following third-order
rational system of difference equations x_ n+ 1= p_n+ y_n p_n+ y_ n-2,\y_ n+ 1= q_n+ x_n …

Solutions and periodicity of a rational recursive sequences of order five

EM Elsayed, TF Ibrahim - Bulletin of the Malaysian Mathematical Sciences …, 2015 - Springer
In this paper, the solutions of the recursive sequences x_ n+ 1= x_ n x_ n-2 x_ n-4 x_ n-1 x_
n-3 (± 1 ± x_ n x_ n-2 x_ n-4),\;\;\; n= 0, 1,..., xn+ 1= xnxn-2 xn-4 xn-1 xn-3 (±1±xnxn-2 xn-4) …

[PDF][PDF] The expressions and behavior of solutions for nonlinear systems of rational difference equations

EM Elsayed, KN Alharbi - J. Innov. Appl. Math. Comput. Sci, 2022 - asjp.cerist.dz
The expressions and behavior of solutions for nonlinear systems of rational difference
equations Page 1 Journal of Innovative Applied Mathematics and Computational Sciences J …

[PDF][PDF] On the dynamics of a higher-order rational recursive sequence

EM Elsayed - 2012 - projecteuclid.org
In this paper we investigate the global convergence result, boundedness, and periodicity of
solutions of the recursive sequence x_ n+ 1= ax_ n+ bx_ nl+ cx_ nk dx_ nl+ ex_ nk,\;\;\; n= 0 …

Dynamics of recursive sequence of order two

EM Elsayed - Kyungpook Mathematical Journal, 2010 - koreascience.kr
In this paper we study some qualitative behavior of the solutions of the difference equation $
x_ {n+ 1}= ax_n=\frac {bx_n}{cx_n-dx_ {n-1}} $, n= 0, 1, $\ldots $, where the initial conditions …

Dynamics and behavior of a higher order rational recursive sequence

EM Elsayed, MM El-Dessoky - Advances in Difference Equations, 2012 - Springer
In this article we study the global convergence result, boundedness, and periodicity of
solutions of the difference equation xn+ 1= axn-s+ bxn-l+ cxn-kdxn-l+ exn-kn= 0, 1,…, where …

Stability and Solutions for Rational Recursive Sequence of Order Three.

EM Elsayed, H El-Metwally - Journal of Computational …, 2014 - search.ebscohost.com
In this paper we deal with the behavior of the local stability, global attractor and
boundedness of solutions of the following difference equation x< sub> n+ 1= ax< sub> n-1+ …