Acknowledgement
Authors are thankful to the editor and reviewers for their constructive review.
References
- R. Abo-Zeid, Global behavior of a fourth-order difference equation with quadratic term, Bol. Soc. Mat. Mex. 25 (2019), 187-194. https://doi.org/10.1007/s40590-017-0180-8
- Y. Akrour, N. Touafek and Y. Halim, On a system of difference equations of second order solved in closed form, Miskolc Math. Notes 20 (2019), 701-717. https://doi.org/10.18514/MMN.2019.2923
- L. Berg and S. Stevic, On some systems of difference equations, Appl. Math. Comput. 218 (2011), 1713-1718. https://doi.org/10.1016/j.amc.2011.06.050
- D. Clark and M.R.S. Kulenovic, A coupled system of rational difference equations, Comput. Math. Appl. 43 (2002), 849-867. https://doi.org/10.1016/S0898-1221(01)00326-1
- D. Clark, M.R.S. Kulenovic and J.F. Selgrade, Global asymptotic behavior of a two-dimensional difference equation modelling competition, Nonlinear Anal. 52 (2003), 1765-1776. https://doi.org/10.1016/S0362-546X(02)00294-8
- C.A. Clark, M.R.S. Kulenovic and J.F. Selgrade, On a system of rational difference equations, J. Difference Equ. Appl. 11 (2005), 565-580. https://doi.org/10.1080/10236190412331334464
- I. Dekkar, N. Touafek and Q. Din, On the global dynamics of a rational difference equation with periodic coefficients, J. Appl. Math. Comput. 60 (2019), 567-588. https://doi.org/10.1007/s12190-018-01227-w
- S. Elaydi, An Introduction to Difference Equations, Springer, New York, 1996.
- M.M. El-Dessoky, E.M. Elsayed and M. Alghamdi, Solutions and periodicity for some systems of fourth order rational difference equations, J. Comput. Anal. Appl. 18 (2015), 179-194.
- H. El-Metwally and E.M. Elsayed, Qualitative study of solutions of some difference equations, Abstr. Appl. Anal. 2012 (2012), 1-17.
- E.M. Elsayed, F. Alzahrani, I. Abbas and N.H. Alotaibi, Dynamical behavior and solution of nonlinear difference equation via Fibonacci sequence, J. Appl. Anal. Comput. 10 (2020), 282-296.
- M. Garic-Demirovic and M. Nurkanovic, Dynamics of an anti-competitive two dimensional rational system of difference equations, Sarajevo J. Math. 7 (2011), 39-56.
- A. Gelisken and M. Kara, Some general systems of rational difference equations, J. Difference Equ. 2015 (2015), 1-7. https://doi.org/10.1155/2015/396757
- N. Haddad, N. Touafek and E.M. Elsayed, A note on a system of difference equations, An. Stiint. Univ. Al. I. Cuza Iasi. Mat. 63 (2017), 599-606.
- N. Haddad, N. Touafek and J.F.T. Rabago, Well-defined solutions of a system of difference equations, J. Appl. Math. Comput. 56 (2018), 439-458. https://doi.org/10.1007/s12190-017-1081-8
- Y. Halim, A system of difference equations with solutions associated to Fibonacci numbers, Int. J. Difference. Equ. 11 (2016), 65-77.
- Y. Halim and M. Bayram, On the solutions of a higher-order difference equation in terms of generalized Fibonacci sequences, Math. Methods Appl. Sci. 39 (2016), 2974-2982. https://doi.org/10.1002/mma.3745
- S. Kalabusic, M.R.S. Kulenovic and E. Pilav, Global dynamics of a competitive system of rational difference equations in the plane, Adv. Difference Equ. 2009 (2009), 1-30.
- M. Kara and Y. Yazlik, Solvability of a system of nonlinear difference equations of higher order, Turkish J. Math. 43 (2019), 1533-1565. https://doi.org/10.3906/mat-1902-24
- M. Kara, Y. Yazlik and D.T. Tollu, Solvability of a system of higher order nonlinear difference equations, Hacet. J. Math. Stat. 49 (2020), 1566-1593.
-
M. Kara and Y. Yazlik, On the system of difference equations
$x_n=\frac{x_{n-2}y_{n-3}}{y_{n-1}(a_n+b_nx_{n-2}y_{n-3})}$ ,$y_n=\frac{y_{n-2}x_{n-3}}{x_{n-1}(a_n+{\beta}_ny_{n-2}x_{n-3})}$ , J. Math. Extension 14 (2020), 41-59. - M. Kara, N. Touafek and Y. Yazlik, Well-defined solutions of a three-dimensional system of difference equations, Gazi University Journal of Science 33 (2020),
- M.R.S. Kulenovic and Z. Nurkanovic, Global behavior of a three-dimensional linear fractional system of difference equations, J. Math. Anal. Appl. 310 (2005), 673-689. https://doi.org/10.1016/j.jmaa.2005.02.042
- M.R.S. Kulenovic and M. Nurkanovic, Asymptotic behavior of a competitive system of linear fractional difference equations, Adv. Difference Equ. 2006 (2006), 1-13.
- M.R.S. Kulenovic and M. Nurkanovic, Basins of attraction of an anti-competitive system of difference equations in the plane, Comm. Appl. Nonlinear Anal. 19 (2012), 41-53.
- A.S. Kurbanli, I. Yalcinkaya and A. Gelisken, On the behavior of the solutions of the system of rational difference equations, Int. J. Phys. Sci. 8 (2013), 51-56. https://doi.org/10.5897/IJPS12.444
- S. Stevic, On some solvable systems of difference equations, Appl. Math. Comput. 218 (2012), 5010-5018. https://doi.org/10.1016/j.amc.2011.10.068
- Y. Yazlik and M. Kara, On a solvable system of difference equations of higher-order with period two coefficients, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 68 (2019), 1675-1693. https://doi.org/10.31801/cfsuasmas.548262
- Y. Yazlik and M. Kara, On a solvable system of difference equations of fifth-order, Eskisehir Tech. Univ. J. Sci. Tech. B-Theoret. Sci. 7 (2019), 29-45.