Representation of solutions of eight systems of difference equations via generalized Padovan sequences

[1] Y. Akrour, N. Touafek and Y. Halim, On a system of difference equations of second order solved in a closed form.
Miskolc Math. Notes. 20(2) (2019) 701–717.
[2] AM. Alotaibi, MSM. Noorani and MA. El-Moneam, On the solutions of a system of third order rational difference
equations. Discrete Dyn. Nat. Soc. 2018 (2018).[3] EM. Elabbasy and EM. Elsayed, Dynamics of a rational difference equation. Chin. Ann. Math. Ser. B.30(2)
(2009) 187–198.
[4] EM. Elabbasy, HA. El-Metwally and EM. Elsayed, Global behavior of the solutions of some difference equations.
Adv. Difference Equ. 2011(1) (2011) 28.
[5] EM. Elabbasy and SM. Eleissawy, Qualitative properties for a higher order rational difference equation. Fasc.
Math. 50 (2013) 33–50.
[6] MM. El-Dessoky and EM. Elsayed, On the solutions and periodic nature of some systems of rational difference
equations. J. Comput. Anal. Appl. 18(2) (2015) 206–218.
[7] H. El-Metwally, Solutions form for some rational systems of difference equations. Discrete Dyn. Nat. Soc. 2013
(2013) 1–10.
[8] EM. Elsayed, On the solutions and periodic nature of some systems of difference equations. Int. J. Biomath. 7(6)
(2014) 1450067.
[9] EM. Elsayed and AM. Ahmed, Dynamics of a three-dimensional systems of rational difference equations. Math.
Methods Appl. Sci. 5(39) (2016) 1026–1038.
[10] EM. Elsayed, F. Alzahrani, I. Abbas and NH. Alotaibi, Dynamical behavior and solution of nonlinear difference
equation via Fibonacci sequence. J. Appl. Anal. Comput. 10(1) (2019) 282–296.
[11] A. Gelisken and M. Kara, Some general systems of rational difference equations. J. Difference Equ. 396757 (2015)
1–7.
[12] Y. Halim, N. Touafek and Y. Yazlik, Dynamic behavior of a second-order nonlinear rational difference equation.
Turkish J. Math. 39(6) (2015) 1004–1018.
[13] Y. Halim and JFT. Rabago, On the solutions of a second-order difference equation in terms of generalized Padovan
sequences. Math. Slovaca. 68(3) (2018) 625–638.
[14] TF. Ibrahim and N. Touafek, On a third order rational difference equation with variable coefficients. Dyn. Contin.
Discrete Impuls. Syst. Ser. B Appl. Algorithms. 20(2) (2013) 251–264.
[15] M. Kara and Y. Yazlik, Solvability of a system of nonlinear difference equations of higher order. Turkish J. Math.
43(3) (2019) 1533–1565.
[16] M. Kara, Y. Yazlik and DT. Tollu, Solvability of a system of higher order nonlinear difference equations. Hacet.
J. Math. Stat. 49(5) (2020) 1566–1593.
[17] M. Kara, N. Touafek and Y. Yazlik, Well-defined solutions of a three-dimensional system of difference equations.
Gazi Univ. J. Sci. 33(3) (2020) 767–778.
[18] M. Kara and Y. Yazlik, On the system of difference equations xn =
xn−2yn−3
yn−1(an+bnxn−2yn−3)
, yn =
yn−2xn−3
xn−1(αn+βnyn−2xn−3)
. J. Math. Extension. 14(1) (2020) 41–59.
[19] M. Kara, DT. Tollu and Y. Yazlik, Global behavior of two-dimensional difference equations system with two period
coefficients. Tbil. Math. J. 13(4) (2020) 49–64.
[20] M. Kara and Y. Yazlik, On a solvable three-dimensional system of difference equations. Filomat. 34(4) (2020)
1167–1186.
[21] A. Khelifa, Y. Halim, A. Bouchair and M. Berkal, On a system of three difference equations of higher order solved
in terms of Lucas and Fibonacci numbers. Math. Slovaca. 70(3) (2020) 641–656.
[22] A. Sanbo and EM. Elsayed, Analytical study of a system of difference equation. Asian Res. J. Math. 14(1) (2019)
1–18.
[23] S. Stević, On a two-dimensional solvable system of difference equations. Electron. J. Qual. Theory Differ. Equ.
104 (2018) 1–18.
[24] S. Stević, B. Iričanin, W. Kosmala and Z. Šmarda, Representation of solutions of a solvable nonlinear difference
equation of second order. Electron. J. Qual. Theory Differ. Equ. 95 (2018) 1–18.
[25] S. Stević, B. Iričanin, W. Kosmala, Representations of general solutions to some classes of nonlinear difference
equations. Adv. Difference Equ. 2019(1) (2019) 1–21.
[26] N. Taskara, DT. Tollu, and Y. Yazlik, Solutions of rational difference system of order three in terms of Padovan
numbers. J. Adv. Res. Appl. Math. 7(3) (2015) 18–29.
[27] DT. Tollu, Y. Yazlik and N. Taskara, On the solutions of two special types of Riccati difference equation via
Fibonacci numbers. Adv. Difference Equ. 174 (2013) 1–7.
[28] DT. Tollu, Y. Yazlik and N. Taskara, On fourteen solvable systems of difference equations. Appl. Math. Comput.
233 (2014) 310–319.
[29] DT. Tollu, Y. Yazlik and N. Taskara, On a solvable nonlinear difference equation of higher order. Turkish J.
Math. 42 (2018) 1765–1778.
[30] DT. Tollu and I. Yalcinkaya, Global behavior of a theree-dimensional system of difference equations of order three.
Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 68(1) (2018) 1–16.[31] N. Touafek, On a second order rational difference equation. Hacet. J. Math. Stat. 41 (2012) 867–4874.
[32] N. Touafek and EM. Elsayed, On the periodicity of some systems of nonlinear difference equations. Bull. Math.
Soc. Sci. Math. Roumanie. 55(103) (2012) 217–224.
[33] N. Touafek and EM. Elsayed, On a second order rational systems of difference equations. Hokkaido Math. J. 44
(2015) 29–45.
[34] I. Yalcinkaya and C. Cinar, On the solutions of a system of difference equations. Internat. J. Math. Stat. 9(11)
(2011) 62–67.
[35] I. Yalcinkaya and DT. Tollu, Global behavior of a second order system of difference equations. Adv. Stud. Contemp.
Math. 26(4) (2016) 653-667.
[36] Y. Yazlik, DT. Tollu nd N. Taskara, On the solutions of difference equation systems with Padovan numbers. Appl.
Math. 4 (2013) 15–20.
[37] Y. Yazlik, DT. Tollu and N. Taskara, On the solutions of a three-dimensional system of difference equations.
Kuwait J. Sci. 43(1) (2016) 95–111.
[38] 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(1) (2019) 29–45.
[39] 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(2) (2019) 1675–1693.