Global Behavior of a Nonlinear Difference Equation with Applications

DOI: 10.4236/ojdm.2012.22014   PDF   HTML   XML   3,762 Downloads   7,631 Views   Citations

Abstract

In this paper, solutions of difference equation for are investigated, where , are both arbitrary nonzero real numbers. The results are applied to the following difference equation for n=0,1,... .

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D. Zhang, J. Huang, L. Wang and W. Ji, "Global Behavior of a Nonlinear Difference Equation with Applications," Open Journal of Discrete Mathematics, Vol. 2 No. 2, 2012, pp. 78-81. doi: 10.4236/ojdm.2012.22014.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] A. M. Amleh, E. A. Grove and G. Ladas, “On the Recursive Sequence ,” Journal of Mathematical Analysis and Applications, Vol. 233, No. 2, 1999, pp. 790-798. doi:10.1006/jmaa.1999.6346
[2] M. R. S Kulenovic and L. Glass, “Dynamics of Second Order Rational Difference Equations,” Chapman Hall/ CRC, USA, 2002.
[3] V. L. Kocic and G. Ladas, “Global Asymptotic Behavior of Nonlinear Difference Equation of Higher Order with Applications,” Kluwer Academic, Dordrecht, 1993.

  
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