Results and Conjectures about Order q Lyness' Difference Equation un+qun=a+un+q−1+⋯+un+1 in ℝ∗+, with a Particular Study of the Case q=3

We study order q Lyness' difference equation in ℝ∗+:un+qun=a+un+q−1+⋯+un+1, with a>0 and the associated dynamical system Fa in ℝ∗+q. We study its solutions (divergence, permanency, local stability of the equilibrium...

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Bibliografski detalji
Glavni autori: G. Bastien, M. Rogalski
Format: Članak
Jezik:English
Izdano: SpringerOpen 2009-01-01
Serija:Advances in Difference Equations
Online pristup:http://dx.doi.org/10.1155/2009/134749