On the Periodicity and Behavior of Solutions of High Order Non-linear System

Authors

  • Kemal Uslu
  • Salli Gokhan

Keywords:

High order difference system, the equilibrium points, the dynamics of solutions of difference system

Abstract

The aim of this work is to examinate the solutions of the high order difference system. Firstly we obtain equilibrium points this system. Then we give the periodicity of solutions and investigate the dynamics of this system related to equilibrium points.

References

Cinar C., Yalcinkaya I., "On the positive solutions of difference equation system , International Mathematical Journal, vol. 5, 2004.

Clark D., Kulenovic M.R.S., "A coupled system of rational difference equations", Computers and Mathematics with Applications, 43, 849-867, 2002.

Iricanin B., Stevic S., "Some systems of non-linear difference equations of higher order with periodic solutions",

Dynamic of Continuous, Discrete and Impulse Sysetems, Series A Mathematical Analysis, vol.13, 499-507, 2006.

Kılıklı G., "On the solutions of a system of the rational difference equations", The graduate school of natural and

applied science od Selcuk University, Ms thesis, 2011.

Nasri M., Dehghan M. and Douraki M.J., Mathias R., "Study of a system of non-linear difference equations arising in

a deterministic model for HIV infection", Applied Mathematics and Computation, 171, 1306-1330, 2005.

Uslu K., Taskara N., Hekimoglu O., "On the periodicity and stability conditions of a non-linear system", The First

International Conference on Mathematics and Statistics, American University of Sharjah, UAE, 110 pp., 2010.

Downloads

Published

2016-02-19

How to Cite

Uslu, K., & Gokhan, S. (2016). On the Periodicity and Behavior of Solutions of High Order Non-linear System. Asian Journal of Applied Sciences, 4(1). Retrieved from https://ajouronline.com/index.php/AJAS/article/view/3514