Global Behavior of a Nonlinear Difference Equation with Applications
Affiliation(s)
Institute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, China.
Institute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, China.
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,... .
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,... .
Cite this paper
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.
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.
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.
[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.