Some Periodic Non-linear Difference Models

Authors

  • Kemal Uslu
  • Tugba Ugurlu

Keywords:

Periodic discrete system, non-linear discrete system

Abstract

In this study, we analyse the solutions of some periodic non-linear difference equation systems. Then we obtain the period of solutions of these systems.

References

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

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.

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

Journal, vol. 5, 2004.

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.

Uslu K., “On the discrete asymptotic stability conditions of perturbed linear discrete systems with periodic

coefficientsâ€, Anziam Journal, 48(1), 135-142, 2006.

Taskara N., Uslu K., Tollu D. T., “The periodicity and solutions of the ratinal difference equation with periodic

coefficientsâ€, Computers & Mathematics with Applications, 62(4), 1807-1813, 2011.

Hanedar E.,Uslu K, “The stability conditions related to equilibrium points of a difference systems and the period of

solutions of this systemâ€, Far East Journal of Applied Mathematics, 85(1-2), 69-74, 2011.

Kose H., Uslu K. Taskara N., “On the dynamics of solutions of non-linear recursive systemâ€, Communications in

Mathematics and Applications, 2(5), 91-98, 2010.

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.

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Published

2016-02-15

How to Cite

Uslu, K., & Ugurlu, T. (2016). Some Periodic Non-linear Difference Models. Asian Journal of Applied Sciences, 4(1). Retrieved from https://www.ajouronline.com/index.php/AJAS/article/view/3513