New method to obtain periodic solutions of period two and three of a rational difference equation

EM Elsayed - Nonlinear Dynamics, 2015 - Springer
This paper aims to develop a new method to obtain periodic solutions with period two and
three of the following recursive sequence x_ n+ 1= α+ β x_n x_ n-1+ γ x_ n-1 x_n, xn+ 1= α+ …

[PDF][PDF] A multi-step iterative method for approximating fixed points of Presić-Kannan operators.

M Păcurar - Acta Mathematica Universitatis Comenianae. New …, 2010 - eudml.org
The convergence of a Presi c type k− step iterative method for a new class of operators f:
Xk→ X satisfying a general Presi c type contraction condition is proved. Our result is …

[PDF][PDF] Expression and behavior of the solutions of some rational recursive sequences

EM Elsayed - Mathematical Methods in the Applied Sciences, 2016 - researchgate.net
In this paper, we obtain the solutions of the following recursive sequences: xnC1 D xn 3xn 4
xn. 1 xn 1xn 2xn 3xn 4/, n D 0, 1,:::,(1) where the initial conditions are arbitrary real numbers …

Asymptotic behavior of a sequence defined by iteration with applications

S Stević - Colloquium Mathematicum, 2002 - infona.pl
We consider the asymptotic behavior of some classes of sequences defined by a recurrent
formula. The main result is the following: Let f:(0,∞) ²→(0,∞) be a continuous function such …

ON THE RECURSIVE SEQUENCE $ x_ {n+ 1}=\displaystyle\frac {A}{\prod^ k_ {i= 0} x_ {ni}}+\displaystyle\frac {1}{\prod^{2 (k+ 1)} _ {j= k+ 2} x_ {nj}} $

S Stevi - Taiwanese Journal of Mathematics, 2003 - projecteuclid.org
In [6] the authors proposed two open problems concerning the boundedness and the
periodic nature of positive solutions of the nonlinear difference equation in the title. In this …

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+ …

[PDF][PDF] The form of the solution and dynamics of a rational recursive sequence

EM Elsayed, MM El-Dessoky, EO Alzahrani - J. Comput. Anal. Appl, 2014 - academia.edu
The Form of The Solution and Dynamics of a Rational Recursive Sequence Page 1 The Form of
The Solution and Dynamics of a Rational Recursive Sequence EM Elsayed1,2, MM El-Dessoky1,2 …

Asymptotic behavior of a class of nonlinear difference equations

S Stevic - Discrete Dynamics in Nature and Society, 2006 - Wiley Online Library
Motivated by some results of L. Berg (2002), in this paper we find the second member in the
asymptotic development of some of the positive solutions of a class of difference equations …

[PDF][PDF] Qualitative properties for a fourth order rational difference equation

EM Elsayed - Acta Applicandae Mathematicae, 2010 - researchgate.net
In this paper we deal with some properties of the solutions of the recursive sequence xn+ 1=
axn− 1+ bxn− 1xn− 3 cxn− 1+ dxn− 3, n= 0, 1,..., where the initial conditions x− 3, x− 2, x− 1 …

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

EM Elsayed, F Alzahrani… - Journal of Applied Analysis …, 2019 - researchgate.net
PERIODICITY AND SOLUTIONS OF SOME RATIONAL DIFFERENCE EQUATIONS
SYSTEMS 1. Introduction Page 1 Journal of Applied Analysis and Computation Website:http://jaac.ijournal.cn …