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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2010/596350 |
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| _version_ | 1832553378090057728 |
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| author | José M. Ferreira Sandra Pinelas |
| author_facet | José M. Ferreira Sandra Pinelas |
| author_sort | José M. Ferreira |
| collection | DOAJ |
| description | 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 solutions are also analized. |
| format | Article |
| id | doaj-art-083d102176ee440184472c584974dc81 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-083d102176ee440184472c584974dc812025-02-03T05:53:59ZengWileyInternational Journal of Differential Equations1687-96431687-96512010-01-01201010.1155/2010/596350596350Oscillatory Nonautonomous Lucas SequencesJosé M. Ferreira0Sandra Pinelas1Department of Mathematics, Instituto Superior Técnico, Avenue Rovisco Pais, 1049-001 Lisboa, PortugalDepartment of Mathematics, Universidade dos Açores, R. Mãe de Deus, 9500-321 Ponta Delgada, PortugalThe 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 solutions are also analized.http://dx.doi.org/10.1155/2010/596350 |
| spellingShingle | José M. Ferreira Sandra Pinelas Oscillatory Nonautonomous Lucas Sequences International Journal of Differential Equations |
| title | Oscillatory Nonautonomous Lucas Sequences |
| title_full | Oscillatory Nonautonomous Lucas Sequences |
| title_fullStr | Oscillatory Nonautonomous Lucas Sequences |
| title_full_unstemmed | Oscillatory Nonautonomous Lucas Sequences |
| title_short | Oscillatory Nonautonomous Lucas Sequences |
| title_sort | oscillatory nonautonomous lucas sequences |
| url | http://dx.doi.org/10.1155/2010/596350 |
| work_keys_str_mv | AT josemferreira oscillatorynonautonomouslucassequences AT sandrapinelas oscillatorynonautonomouslucassequences |