On the behavior of the solutions of the system of rational difference equations

Abdullah Selcuk Kurbanli; Ibrahim Yalcinkaya; Ali Gelisken

doi:10.5897/IJPS12.444

International Journal of
Physical Sciences

Abbreviation: Int. J. Phys. Sci.
Language: English
ISSN: 1992-1950
DOI: 10.5897/IJPS
Start Year: 2006
Published Articles: 2572

Full Length Research Paper

On the behavior of the solutions of the system of rational difference equations

Abdullah Selcuk Kurbanli1*, Ibrahim Yalcinkaya1 and Ali Gelisken2

1Department of Mathematics, Faculty of Education, Necmettin Erbakan University, Konya, Turkey. 2Department of Mathematics, Faculty of Science, Karamanoglu Mehmetbey University, Karaman, Turkey.
Email: [email protected]

Article Number - 702E7CC18155
Vol.8(2), pp. 51-56 , January 2013
https://doi.org/10.5897/IJPS12.444

Accepted: 14 January 2013
Published: 16 January 2013

Copyright © 2024 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0.

Abstract

There has been a great interest in studying difference equations and systems. One of the reasons for this is a necessity for some techniques which can be used in investigating equations arising in mathematical models describing real life situations in population biology, geometry, economics, probability theory, genetics, physics etc. In this paper, we investigate the solutions of the system of rational difference equations where the initial values QUOTE QUOTE are real numbers and the initial values are non-zero real numbers such that QUOTE QUOTE and QUOTE QUOTE are not equal to 1. We give general solutions of the system. Also, we obtain necessary conditions for every solution of the system to be limited or unlimited.