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
Summary
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.
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