Global Asymptotic Behavior of yn+1=(pyn+yn−1)/(r+qyn+yn−1)

We investigate the global stability character of the equilibrium points and the period-two solutions of yn+1=(pyn+yn−1)/(r+qyn+yn−1),n=0,1,…, with positive parameters and nonnegative initial conditions. We show that every solution of the equation in the title converges to either the z...

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Bibliographic Details
Main Authors: M. R. S. Kulenović, A. Brett
Format: Article
Language:English
Published: SpringerOpen 2008-01-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/2007/41541