International Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-190111120171224On some rational systems of difference equations4972http://dx.doi.org/10.22436/jnsa.011.01.05ENM. M. El-DessokyMathematics Department, Faculty of Science, King AbdulAziz University, P. O. Box 80203, Jeddah 21589, Saudi ArabiaA.KhaliqDepartment of Mathematics, Riphah International University, Lahore, PakistanA.AsiriMathematics Department, Faculty of Science, King AbdulAziz University, P. O. Box 80203, Jeddah 21589, Saudi ArabiaOur goal in this paper is to find the form of solutions for the following
systems of rational difference equations:
\[
x_{n+1}=\frac{x_{n-3}y_{n-4}}{y_{n}(\pm 1\pm x_{n-3}y_{n-4})},\quad
y_{n+1}=\frac{y_{n-3}x_{n-4}}{x_{n}(\pm 1\pm y_{n-3}x_{n-4})},\quad n=0,1,\ldots,
\]
where the initial conditions have non-zero real numbers. http://www.isr-publications.com/jnsa/6517/download-on-some-rational-systems-of-difference-equations