On the Behavior of Positive Solutions of a Difference Equations System xn+1={yn-2+yn-3}/xn, yn+1={xn-2+xn-3}/yn

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References

[1] M. R. S. Kulenovi? and G. Ladas, “Dynamics of Second Order Rational Difference Equation with Open Problems and Conjectures,” CRC Press, Chapman Hall, 2002.

[2] C. Cinar, “On the Positive Solutions of the Difference Equation System x_{n+1}=1/y_{n}, y_{n+1}=y_{n}/x_{n-1}y_{n-1} ,” Applied Mathematics and Computation, Vol. 158, 2004, pp. 303-305.

[3] E. Camouzis and G. Papaschinopoulos, “Global Asymptotic Behavior of Positive Solutions on the System of Rational Difference Equations x_{n+1}=1+x_{n}/y_{n-m}, y_{n+1}=1+y_{n}/x_{n-m},” Applied Mathematics and Letters, Vol. 17, 2004, pp. 733-737.

[4] A. Y. Ozban, “On the System of Rational Difference Equations
x_{n}=a/y_{n-3}, y_{n}=by_{n-3}/x_{n-q}y_{n-q},” Applied Mathematics and Computation, Vol. 188, 2007, pp. 833-837.

[5] A. S. Kurbanli, C. Cinar and I. Yalcinkaya, “On the Behavior of Positive Solutions of the System of Rational Difference Equations, x_{n}=x_{n-1}/y_{n}x_{n-1}+1, y_{n}=y_{n-1}/x_{n}y_{n-1}+1 ,” Mathematical and Computer Modelling, Vol. 53, 2011, pp. 1261-1267.

[6] G. Papaschinopoulos, “On a System of Two Nonlinear Difference Equations,” Journal of Mathematicsal Analysis and Applications, Vol. 219, 1998, pp. 415-426.

[7] G. Papaschinopoulos, M. Radin and C. J. Schinas, “Study of the Asymptotic Behavior of the Solutions of Three Systems of Difference Equations of Exponential Form,” Applied Mathematics and Computation, Vol. 218, 2012, pp. 5310-5318.

[8] [8] E. Camouzis, C. M. Kent, G. Ladas and C. D. Lynd, “On the Global Character of Solutions of the System: x_{n+1}=α_{1}+y_{n}/x_{n}, y_{n+1}=α_{2}+β_{2}x_{n}+γ_{2}y_{n}/A_{2}+B_{2}x_{n}+C_{2}y_{n},” Journal of Difference Equations and Applications, Vol. 18, 2012, pp. 1205-1252.

[9] [9] E. Camouzis, E. Drymonis, G. Ladas and W. Tikjha, “Patterns of Boundedness of the Rational System x_{n+1}=α_{1}/A_{1}+B_{1}x_{n}+C_{1}y_{n}, y_{n+1}=α_{2}+β_{2}x_{n}+γ_{2}y_{n}/A_{2}+B_{2}x_{n}+C_{2}y_{n},” Journal of Difference Equations and Applications, Vol. 18, 2012, pp. 89-110.