References

1. A. M. Amleh, E. A. Grove, G. Ladas, and D. A. Georgiou, “On the recursive sequence $x_{n+1}=\alpha +x_{n-1}/x_n$,” Journal of Mathematical Analysis and Applications, vol. 233, no. 2, pp. 790–798, 1999.

   View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNet

2. K. S. Berenhaut, J. D. Foley, and S. Stević, “Quantitative bounds for the recursive sequence $y_{n+1}=A+y_n/y_{n-k}$,” Applied Mathematics Letters, vol. 19, no. 9, pp. 983–989, 2006.

   View at: Google Scholar | MathSciNet

3. K. S. Berenhaut, J. D. Foley, and S. Stević, “The global attractivity of the rational difference equation $y_n=1+y_{n-k}/y_{n-m}$,” Proceedings of the American Mathematical Society, vol. 135, no. 4, pp. 1133–1140, 2007.

   View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNet

4. K. S. Berenhaut and S. Stević, “The behaviour of the positive solutions of the difference equation $x_n=A+{\left(x_{n-2}/x_{n-1}\right)}^p$,” Journal of Difference Equations and Applications, vol. 12, no. 9, pp. 909–918, 2006.

   View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNet

5. L. Berg, “On the asymptotics of nonlinear difference equations,” Zeitschrift für Analysis und ihre Anwendungen, vol. 21, no. 4, pp. 1061–1074, 2002.

   View at: Google Scholar | Zentralblatt MATH | MathSciNet

6. R. DeVault, G. Ladas, and S. W. Schultz, “On the recursive sequence $x_{n+1}=A/x_n+1/x_{n-2}$,” Proceedings of the American Mathematical Society, vol. 126, no. 11, pp. 3257–3261, 1998.

   View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNet

7. H. M. El-Owaidy, A. M. Ahmed, and M. S. Mousa, “On asymptotic behaviour of the difference equation $x_{n+1}=\alpha +x_{n-1}^p/x_n^p$,” Journal of Applied Mathematics & Computing, vol. 12, no. 1-2, pp. 31–37, 2003.

   View at: Google Scholar | Zentralblatt MATH | MathSciNet

8. B. D. Iričanin, “A global convergence result for a higher-order difference equation,” Discrete Dynamics in Nature and Society, vol. 2007, Article ID 91292, p. 7, 2007.

   View at: Publisher Site | Google Scholar

9. W. T. Patula and H. D. Voulov, “On the oscillation and periodic character of a third order rational difference equation,” Proceedings of the American Mathematical Society, vol. 131, no. 3, pp. 905–909, 2003.

   View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNet

10. S. Stević, “On the recursive sequence $x_{n+1}=\alpha +x_{n-1}^p/x_n^p$,” Journal of Applied Mathematics & Computing, vol. 18, no. 1-2, pp. 229–234, 2005.

    View at: Google Scholar | Zentralblatt MATH | MathSciNet

11. S. Stević, “On monotone solutions of some classes of difference equations,” Discrete Dynamics in Nature and Society, vol. 2006, Article ID 53890, p. 9, 2006.

    View at: Google Scholar | Zentralblatt MATH | MathSciNet

12. S. Stević, “On the recursive sequence $x_n=1+{\displaystyle {\sum }_{i=1}^k{\alpha }_i{x}_{n-p_i}/{\displaystyle {\sum }_{j=1}^m{\beta }_j{x}_{n-q_j}}}$,” Discrete Dynamics in Nature and Society, vol. 2007, Article ID 39404, p. 7, 2007.

    View at: Google Scholar | MathSciNet

13. S. Stević, “On the recursive sequence $x_{n+1}=\alpha +x_n^p/x_{n-1}^p$,” Discrete Dynamics in Nature and Society, vol. 2007, Article ID 34517, p. 9, 2007.

    View at: Google Scholar | MathSciNet

14. S. Stević, “On the recursive sequence $x_{n+1}=max\left\{c,x_n^p/x_{n-1}^p\right\}$,” to appear in Applied Mathematics Letters.

    View at: Publisher Site | Google Scholar

15. T. Sun and H. Xi, “On the global behavior of the nonlinear difference equation $x_{n+1}=f\left(p_n,x_{n-m},x_{n-t\left(k+1\right)+1}\right)$,” Discrete Dynamics in Nature and Society, vol. 2006, Article ID 90625, p. 12, 2006.

    View at: Google Scholar | Zentralblatt MATH | MathSciNet