Oscillatory Nonautonomous Lucas Sequences

The oscillatory behavior of the solutions of the second-order linear nonautonomous equation x(n+1)=a(n)x(n)−b(n)x(n−1),  n∈ℕ0, where a,b:ℕ0→ℝ, is studied. Under the assumption that the sequence b(n) dominates somehow a(n), the amplitude of the oscillations and the asymptotic behavior of its solutio...

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Bibliographic Details
Main Authors: José M. Ferreira, Sandra Pinelas
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2010/596350