Periodicity and Solution of Rational Recurrence Relation of Order Six

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References

[1] C. Cinar, “On the Positive Solutions of the Difference Equation ,” Applied Mathematics and Computation, Vol. 158, No. 3, 2004, pp. 793-797.
doi:10.1016/j.amc.2003.08.139

[2] C. Cinar, “On the Positive Solutions of the Difference Equation ,” Applied Mathematics and Computation, Vol. 156, No. 2, 2004, pp. 587-590.
doi:10.1016/j.amc.2003.08.010

[3] S. N. Elaydi, “An Introduction to Difference Equations,” Springer-Verlag Inc., New York, 1996.

[4] R. Karatas, C. Cinar and D. Simsek, “On Positive Solutions of the Difference Equation ,” International Journal of Contemporary Mathematical Sciences, Vol. 1, No. 10, 2006, pp. 495-500.

[5] T. F. Ibrahim, “On the Third Order Rational Difference Equation ,” International Journal of Contemporary Mathematical Sciences, Vol. 4, No. 27, 2009, pp. 1321-1334.

[6] T. F. Ibrahim, “Global Asymptotic Stability of a Nonlinear Difference Equation with Constant Coefficients,” Mathematical Modelling and Applied Computing, Vol. 1, No. 1, 2009.

[7] T. F. Ibrahim, “Dynamics of a Rational Recursive Sequence of Order Two,” International Journal of Mathematics and Computation, Vol. 5, No. D09, 2009, pp. 98105.

[8] T. F. Ibrahim, “Solvability and Attractivity of the Solutions of a Rational Difference Equation,” Journal of Pure and Applied Mathematics: Advances and Applications, Vol. 2, No. 2, 2009, pp. 227-237.

[9] T. F. Ibrahim, “Periodicity and Analytic Solution of a Recursive Sequence with Numerical Examples,” Journal of Interdisciplinary Mathematics, Vol. 12, No. 5, 2009, pp. 701-708.

[10] V. L. Kocic and G. Ladas, “Global Behavior of Nonlinear Difference Equations of Higher Order with Applications,” Kluwer Academic Publishers, Dordrecht, 1993.

[11] M. R. S. Kulenovic and G. Ladas, “Dynamics of Second Order Rational Difference Equations with Open Problems and Conjectures,” Chapman & Hall/CRC Press, Boca Raton, 2001. doi:10.1201/9781420035384

[12] G. ladas and M. Kulenovic, “On Period Two Solutions of ,” Journal of Difference Equations and Applications, Vol. 6, 2000, pp. 641-646.

[13] D. Simsek, C. Cinar and I. Yalcinkaya, “On the Recursive Sequence ,” International Journal of Contemporary Mathematical Sciences, Vol. 1, No. 10, 2006, pp. 475-480.