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$ 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, $ |
El-Dessoky, M. M.  1 ; Khaliq, A. 2 ; Asiri, A. 3
@article{JNSA_2018_11_1_a4, author = {El-Dessoky, M. M. and Khaliq, A. and Asiri, A.}, title = {On some rational systems of difference equations}, journal = {Journal of nonlinear sciences and its applications}, pages = {49-72}, publisher = {mathdoc}, volume = {11}, number = {1}, year = {2018}, doi = {10.22436/jnsa.011.01.05}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.22436/jnsa.011.01.05/} }
TY - JOUR AU - El-Dessoky, M. M. AU - Khaliq, A. AU - Asiri, A. TI - On some rational systems of difference equations JO - Journal of nonlinear sciences and its applications PY - 2018 SP - 49 EP - 72 VL - 11 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.22436/jnsa.011.01.05/ DO - 10.22436/jnsa.011.01.05 LA - en ID - JNSA_2018_11_1_a4 ER -
%0 Journal Article %A El-Dessoky, M. M. %A Khaliq, A. %A Asiri, A. %T On some rational systems of difference equations %J Journal of nonlinear sciences and its applications %D 2018 %P 49-72 %V 11 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.22436/jnsa.011.01.05/ %R 10.22436/jnsa.011.01.05 %G en %F JNSA_2018_11_1_a4
El-Dessoky, M. M. ; Khaliq, A.; Asiri, A. On some rational systems of difference equations. Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 1, p. 49-72. doi : 10.22436/jnsa.011.01.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.011.01.05/
[1] Solutions and Properties of Some Degenerate Systems of Difference Equations, J. Comput. Anal. Appl., Volume 18 (2015), pp. 321-333 | Zbl
[2] On a System of Second-Order Nonlinear Difference Equations, J. Appl. Math. Phys., Volume 3 (2015), pp. 903-910
[3] Open problems and Conjectures, J. Difference Equ. Appl., Volume 15 (2009), pp. 203-323
[4] On a system of rational difference equations, J. Difference Equ. Appl., Volume 11 (2005), pp. 565-580 | DOI
[5] Stability analysis of a discrete ecological model, Comput. Ecol. Softw., Volume 4 (2014), pp. 89-103
[6] Dynamics of a fourth-order system of rational difference equations, Adv. Difference Equ., Volume 2012 (2012 ), pp. 1-15 | Zbl | DOI
[7] Qualitative behavior of an anti-competitive system of third-order rational difference equations, Comput. Ecol. Softw., Volume 4 (2014), pp. 104-115
[8] On a systems of rational difference equations of Order Two, Proc. Jangjeon Math. Soc., Volume 19 (2016), pp. 271-284
[9] Solution of a rational systems of difference equations of order three, Mathematics, Volume 2016 (2016 ), pp. 1-12
[10] The form of solutions and periodicity for some systems of third -order rational difference equations, Math. Method Appl. Sci., Volume 39 (2016), pp. 1076-1092 | DOI | Zbl
[11] On a solution of system of three fractional difference equations, J. Comput. Anal. Appl., Volume 19 (2015), pp. 760-769
[12] Solutions and periodicity for some systems of fourth order rational difference equations, J. Comput. Anal. Appl., Volume 18 (2015), pp. 179-194 | Zbl
[13] Solutions of some rational systems of difference equations, Util. Math., Volume 92 (2013), pp. 329-336
[14] The Form of The Solution and Dynamics of a Rational Recursive Sequence, J. Comput. Anal. Appl., Volume 17 (2014), pp. 172-186 | Zbl
[15] Solutions of fractional systems of difference equations, Ars Combin., Volume 110 (2013), pp. 469-479
[16] Global dynamics of some systems of rational difference equations, J. Egyptian Math. Soc., Volume 24 (2016), pp. 30-36 | Zbl | DOI
[17] Global dynamics of some systems of higher-order rational difference equations, Adv. Difference Equ., Volume 2013 (2013), pp. 1-23 | Zbl | DOI
[18] Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, Kluwer Academic Publishers, Dordrecht, 1993 | DOI
[19] Dynamics of Second Order Rational Difference Equations with Open Problems and Conjectures, Chapman & Hall , CRC Press, U.S.A., 2001
[20] On the Behavior of Solutions of the System of Rational Difference Equations, World Appl. Sci. J., Volume 10 (2010), pp. 1344-1350
[21] On the behavior of positive solutions of the system of rational difference equations \(x_{n+1} = \frac{x_{n-1}}{ y_nx_{n-1}+1} , y_{n+1} = \frac{y_{n-1}}{ x_ny_{n-1}+1}\), Math. Comput. Model., Volume 53 (2011), pp. 1261-1267 | DOI
[22] On the solution of rational systems of difference equations, J. Comput. Anal. Appl., Volume 15 (2013), pp. 967-976
[23] Analytic solution diffusivity equation in rational form, World Appl. Sci. J., Volume 10 (2010), pp. 764-768
[24] On the positive solutions of the system of rational difference equations, J. Math. Anal. Appl., Volume 323 (2006), pp. 26-32 | DOI
[25] On a k-order system of Lyness-type difference equations, Adv. Difference Equ., Volume 2007 (2007), pp. 1-13 | DOI | Zbl
[26] Asymptotic behavior of the solutions of a class of rational difference equations, Int. J. Difference Equ., Volume 5 (2010), pp. 233-249
[27] On a system of difference equations, Appl. Math. Comput., Volume 218 (2011), pp. 3372-3378 | DOI
[28] Boundedness character of a fourth-order system of difference equations, Adv. Difference Equ., Volume 2015 (2015 ), pp. 1-11 | DOI
[29] On the global asymptotic stability of a second-order system of difference equations, Discrete Dyn. Nat. Soc., Volume 2008 (2008), pp. 1-12
[30] On the system of high order rational difference equations \(x_{n+1} = \frac{\alpha}{ y_{n-p}}, y_{n+1} = \frac{by_{n-p}}{ x_{n-q}y_{n-p}}\), Appl. Math. Comput., Volume 171 (2005), pp. 853-856 | DOI
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