alexa Periodicty and Stability of Solutions of Rational Difference Systems
ISSN: 2168-9679

Journal of Applied & Computational Mathematics
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Research Article

Periodicty and Stability of Solutions of Rational Difference Systems

E. M. Elabbasy1* and S. M. Eleissawy2

1Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt

2Department of Physics and Engineering Mathematics, Faculty of Engineering, Port-Said University, Egypt

*Corresponding Author:
E. M. Elabbasy
Department of Mathematics
Faculty of Science, Mansoura University
Mansoura, 35516, Egypt
E-mail: [email protected]

Received Date: May 25, 2012; Accepted Date: June 19, 2012; Published Date: June 22, 2012

Citation: Elabbasy EM, Eleissawy SM (2012) Periodicty and Stability of Solutions of Rational Difference Systems. J Appl Computat Math 1:114. doi: 10.4172/2168-9679.1000114

Copyright: © 2012 Elabbasy EM, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

 

Abstract

We study the stability character and periodic solutions of the following rational difference systems
1 1
1 1
1 1
= 1 , = 1 ,
1 1
n n
n n
n n n n
x x y y
y x x y
− −
+ +
− −
± ±
± ±
where the initial values 1 0 1 0 x , x , y , y − − are nonzero real numbers. Some numerical examples are given to illustrate our results.

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