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 …

Global behavior of the solutions of some difference equations

EM Elabbasy, HA El-Metwally, EM Elsayed - Advances in Difference …, 2011 - Springer
In this article we study the difference equation xn+ 1= axn-lxn-kbxn-p-cxn-q, n= 0, 1,…,
where the initial conditions xr, x-r+ 1, x-r+ 2,..., x 0 are arbitrary positive real numbers, r= max …

[PDF][PDF] Dynamics and behavior of a higher order rational difference equation

EM Elsayed - J. Nonlinear Sci. Appl, 2016 - kurims.kyoto-u.ac.jp
We study the global result, boundedness, and periodicity of solutions of the difference
equation xn+ 1= a+ bxn− l+ cxn− k dxn− l+ exn− k, n= 0, 1,..., where the parameters a, b, c, d …

[PDF][PDF] Solution of a recursive sequence of order ten

EM Elsayed - General Mathematics, 2011 - emis.icm.edu.pl
Solution of a Recursive Sequence of Order Ten 1 1 Introduction Page 1 General Mathematics
Vol. 19, No. 1 (2011), 145–162 Solution of a Recursive Sequence of Order Ten 1 EM Elsayed …

[PDF][PDF] Dynamics of a rational difference equation

EM Elabbasy, EM Elsayed - Chin. Ann. Math. Ser. B, 2009 - researchgate.net
The authors investigate the global behavior of the solutions of the difference equation xn+
1= axn− lxn− k bxn− p+ cxn− q, n= 0, 1,···, where the initial conditions x− r, x− r+ 1, x− r+ 2 …

[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 …

[PDF][PDF] Asymptotic behavior of equilibrium point for a class of nonlinear difference equation

C Wang, F Gong, S Wang, L Li, Q Shi - Advances in Difference Equations, 2009 - Springer
We study the asymptotic behavior of the solutions for the following nonlinear difference
equation where the initial conditions are arbitrary nonnegative real numbers, are …

On the global attractivity of difference equation of higher order

EM Elabbasy, EM Elsayed - Carpathian Journal of Mathematics, 2008 - JSTOR
In this paper we investigate the global convergence result and boundedness of solutions of
the recursive sequence x_n+1=ax_n^p+b∏r=1^px_n-rcx_n^p+d∏r=1^px_n-r, n= 0, 1 …

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 …