International Journal of Differential Equations

Oscillatory Nonautonomous Lucas Sequences

José M. Ferreira and Sandra Pinelas

Full-text: Open access

Abstract

The oscillatory behavior of the solutions of the second-order linear nonautonomous equation x(n+1)=a(n)x(n)b(n)x(n1),  n0, where a,b:0, 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.

Article information

Source
Int. J. Differ. Equ., Volume 2010, Special Issue (2010), Article ID 596350, 15 pages.

Dates
Received: 18 September 2009
Accepted: 3 December 2009
First available in Project Euclid: 26 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.ijde/1485399838

Digital Object Identifier
doi:10.1155/2010/596350

Mathematical Reviews number (MathSciNet)
MR2575293

Zentralblatt MATH identifier
1203.39009

Citation

Ferreira, José M.; Pinelas, Sandra. Oscillatory Nonautonomous Lucas Sequences. Int. J. Differ. Equ. 2010, Special Issue (2010), Article ID 596350, 15 pages. doi:10.1155/2010/596350. https://projecteuclid.org/euclid.ijde/1485399838


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