On some rational systems of difference equations
Authors
M. M. ElDessoky
 Mathematics Department, Faculty of Science, King AbdulAziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.
 Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt.
A. Khaliq
 Department of Mathematics, Riphah International University, Lahore, Pakistan.
A. Asiri
 Mathematics Department, Faculty of Science, King AbdulAziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.
Abstract
Our goal in this paper is to find the form of solutions for the following
systems of rational difference equations:
\[
x_{n+1}=\frac{x_{n3}y_{n4}}{y_{n}(\pm 1\pm x_{n3}y_{n4})},\quad
y_{n+1}=\frac{y_{n3}x_{n4}}{x_{n}(\pm 1\pm y_{n3}x_{n4})},\quad n=0,1,\ldots,
\]
where the initial conditions have nonzero real numbers.
Keywords
 Form of solution
 stability
 rational difference equations
 rational systems
MSC
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