Open AccessOscillatory Nonautonomous Lucas Sequences
Author(s) -
J.M. Ferreira,
Sandra Pinelas
Publication year - 2009
Publication title -
international journal of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 20
eISSN - 1687-9651
pISSN - 1687-9643
DOI - 10.1155/2010/596350
Subject(s) - mathematics , sequence (biology) , order (exchange) , mathematical analysis , amplitude , combinatorics , pure mathematics , physics , chemistry , biochemistry , finance , quantum mechanics , economics
The oscillatory behavior of the solutions of thesecond-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 solutions are also analized
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