Periodicty and Stability of Solutions of Rational Difference Systems | OMICS International | Abstract
ISSN: 2168-9679

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## 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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