Abstract

We investigate the solutions of the system of difference equations xn+1 = xn−1/(ynxn−1 − 1), yn+1 = yn−1/(xnyn−1 − 1), zn+1 = zn−1/(ynzn−1 − 1), where y0, y−1, x0, x−1, z−1, z0 ∈ ℝ.

Highlights

  • There has been great interest in studying difference equation 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, economic, probability theory, genetics, psychology, and so forth

  • In 17 Kurbanli et al studied the behavaior of positive solutions of the system of rational difference equations xn 1 xn−1, ynxn−1 1 yn 1 yn−1 . xnyn−1 1

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Summary

Abdullah Selcuk Kurbanli

Department of Mathematics, Faculty of Education, Selcuk University, 42090 Konya, Turkey Copyright q 2011 Abdullah Selcuk Kurbanli. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We investigate the solutions of the system of difference equations xn 1 xn−1/ ynxn−1 − 1 , yn 1 yn−1/ xnyn−1 − 1 , zn 1 zn−1/ ynzn−1 − 1 , where y0, y−1, x0, x−1, z−1, z0 ∈ R.

Introduction
Discrete Dynamics in Nature and Society
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