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2 R. P. Agarwal, Difference Equations and Inequalities, Marcel Dekker, New York, NY, USA, 2nd edition, 2000.

3 V. L. Kocic´ and G. Ladas, Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, vol. 256 of Mathematics and Its Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1993.

4 M. R. S. Kulenovic´, G. Ladas, and N. R. Prokup, “A rational difference equation,” Computers and Mathematics with Applications, vol. 41, no. 5-6, pp. 671-678, 2001.

5 A. M. Amleh, E. A. Grove, G. Ladas, and D. A. Georgiou, “On the recursive sequence xn 1 α xn−1/xn,” Journal of Mathematical Analysis and Applications, vol. 233, no. 2, pp. 790-798, 1999.

6 X. Y. Li, “Global behavior for a fourth-order rational difference equation,” Journal of Mathematical Analysis and Applications, vol. 312, no. 2, pp. 555-563, 2005.

7 X. Y. Li, “The rule of trajectory structure and global asymptotic stability for a nonlinear difference equation,” Applied Mathematics Letters, vol. 19, no. 11, pp. 1152-1158, 2006.

8 X. Y. Li and R. P. Agarwal, “The rule of trajectory structure and global asymptotic stability for a fourth-order rational difference equation,” Journal of the Korean Mathematical Society, vol. 44, no. 4, pp. 787-797, 2007.

9 X. Y. Li, D. M. Zhu, Y. Zhou, and G.-Y. Deng, “Oscillation and nonoscillation for nonlinear neutral difference equations with continuous arguments,” International Journal of Nonlinear Sciences and Numerical Simulation, vol. 3, no. 2, pp. 153-160, 2002.

10 C. H. Gibbons, M. R. S. Kulenovic´, and G. Ladas, “On the recursive sequence xn 1 α βxn−1 / γ xn ,” Mathematical Sciences Research Hot-Line, vol. 4, no. 2, pp. 1-11, 2000.