Asymptotic Expansions for Higher-Order Scalar Difference Equations

We give an asymptotic expansion of the solutions of higher-order Poincaré difference equation in terms of the characteristic solutions of the limiting equation. As a consequence, we obtain an asymptotic description of the solutions approaching a hyperbolic equilibrium of a higher-order nonlinear...

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Bibliographic Details
Main Authors: Ravi P. Agarwal, Mihály Pituk
Format: Article
Language:English
Published: SpringerOpen 2007-04-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/2007/67492