Global Behavior of a Nonlinear Difference Equation with Applications

Decun Zhang, Jie Huang, Liying Wang, Wenqiang Ji

Institute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, China.

DOI: 10.4236/ojdm.2012.22014                

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,... .

Keywords

Difference Equation; Recursive Sequence; Period-3 Solution

Conflicts of Interest

The authors declare no conflicts of interest.

References

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[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.