Dynamics for Nonlinear Difference Equation xn+1=(αxn−k)/(β+γxn−lp)

We mainly study the global behavior of the nonlinear difference equation in the title, that is, the global asymptotical stability of zero equilibrium, the existence of unbounded solutions, the existence of period two solutions, the existence of oscillatory solutions, the existence, and asymptotic be...

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Bibliographic Details
Main Authors: Dongmei Chen, Xianyi Li, Yanqin Wang
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/2009/235691
Description
Summary:We mainly study the global behavior of the nonlinear difference equation in the title, that is, the global asymptotical stability of zero equilibrium, the existence of unbounded solutions, the existence of period two solutions, the existence of oscillatory solutions, the existence, and asymptotic behavior of non-oscillatory solutions of the equation. Our results extend and generalize the known ones.
ISSN:1687-1839
1687-1847