On the solutions of a higher order difference equation

References

[1] R. Abo-Zeid, Global asymptotic stability of a second order rational difference equation, J. Appl. Math. Inform. 28 (2010), no. 3–4, 797–804. Suche in Google Scholar

[2] R. Abo-Zeid, Global behavior of a rational difference equation with quadratic term, Math. Morav. 18 (2014), no. 1, 81–88. 10.5937/MatMor1401081ASuche in Google Scholar

[3] R. Abo-Zeid, Global behavior of a third order rational difference equation, Math. Bohem. 139 (2014), no. 1, 25–37. 10.21136/MB.2014.143635Suche in Google Scholar

[4] R. Abo-Zeid and M. A. Al-Shabi, Global behavior of a third order difference equation, Tamkang J. Math. 43 (2012), no. 3, 375–383. 10.5556/j.tkjm.43.2012.801Suche in Google Scholar

[5] R. Abo-Zeid and C. Cinar, Global behavior of the difference equation xn+1=A⁢xn-1B-C⁢xn⁢xn-2, Bol. Soc. Parana. Mat. (3) 31 (2013), no. 1, 43–49. 10.5269/bspm.v31i1.14432Suche in Google Scholar

[6] M. A. Al-Shabi and R. Abo-Zeid, Global asymptotic stability of a higher order difference equation, Appl. Math. Sci. (Ruse) 4 (2010), no. 17–20, 839–847. Suche in Google Scholar

[7] K. S. Berenhaut, J. D. Foley and S. Stević, The global attractivity of the rational difference equation yn=yn-k+yn-m1+yn-k⁢yn-m, Appl. Math. Lett. 20 (2007), no. 1, 54–58. 10.1016/j.aml.2006.02.022Suche in Google Scholar

[8] E. Camouzis, G. Ladas, I. W. Rodrigues and S. Northshield, The rational recursive sequence xn+1=(β⁢xn2)/(1+xn-12), Comput. Math. Appl. 28 (1994), no. 1–3, 37–43. 10.1016/0898-1221(94)00091-3Suche in Google Scholar

[9] M. Dehghan, C. M. Kent, R. Mazrooei-Sebdani, N. L. Ortiz and H. Sedaghat, Dynamics of rational difference equations containing quadratic terms, J. Difference Equ. Appl. 14 (2008), no. 2, 191–208. 10.1080/10236190701565636Suche in Google Scholar

[10] E. A. Grove, E. J. Janowski, C. M. Kent and G. Ladas, On the rational recursive sequence xn+1=α⁢xn+β(γ⁢xn+δ)⁢xn-1, Comm. Appl. Nonlinear Anal. 1 (1994), no. 3, 61–72. Suche in Google Scholar

[11] H. Sedaghat, Global behaviours of rational difference equations of orders two and three with quadratic terms, J. Difference Equ. Appl. 15 (2009), no. 3, 215–224. 10.1080/10236190802054126Suche in Google Scholar

[12] S. Stević, Global stability and asymptotics of some classes of rational difference equations, J. Math. Anal. Appl. 316 (2006), no. 1, 60–68. 10.1016/j.jmaa.2005.04.077Suche in Google Scholar

[13] X. Yang, On the global asymptotic stability of the difference equation xn=xn-1⁢xn-2+xn-3+axn-1+xn-2⁢xn-3+a, Appl. Math. Comput. 171 (2005), no. 2, 857–861. Suche in Google Scholar

[14] X. Yang, D. J. Evans and G. M. Megson, On two rational difference equations, Appl. Math. Comput. 176 (2006), no. 2, 422–430. 10.1016/j.amc.2005.09.031Suche in Google Scholar

[15] X. Yang, W. Su, B. Chen, G. M. Megson and D. J. Evans, On the recursive sequence xn=a⁢xn-1+b⁢xn-2c+d⁢xn-1⁢xn-2, Appl. Math. Comput. 162 (2005), no. 3, 1485–1497. 10.1016/j.amc.2004.03.023Suche in Google Scholar