A note on the reducibility of linear differential equations with quasiperiodic coefficients
The system x˙=(A+ϵQ(t))x, where A is a constant matrix whose eigenvalues are not necessarily simple and Q is a quasiperiodic analytic matrix, is considered. It is proved that, for most values of the frequencies, the system is reducible.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203206025 |
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| _version_ | 1832565069234307072 |
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| author | Xiaoping Yuan Ana Nunes |
| author_facet | Xiaoping Yuan Ana Nunes |
| author_sort | Xiaoping Yuan |
| collection | DOAJ |
| description | The system x˙=(A+ϵQ(t))x, where A is a constant
matrix whose eigenvalues are not necessarily simple and Q is a
quasiperiodic analytic matrix, is considered. It is proved that,
for most values of the frequencies, the system is reducible. |
| format | Article |
| id | doaj-art-f668b23e0a9d4cf49a4e2cd130f1fa18 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f668b23e0a9d4cf49a4e2cd130f1fa182025-02-03T01:09:38ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003644071408310.1155/S0161171203206025A note on the reducibility of linear differential equations with quasiperiodic coefficientsXiaoping Yuan0Ana Nunes1Department of Mathematics, Fudan University, Shanghai 200433, ChinaCentro de Matemática e Aplicações Fundamentais, Universidade de Lisboa, Lisboa 1649-003, PortugalThe system x˙=(A+ϵQ(t))x, where A is a constant matrix whose eigenvalues are not necessarily simple and Q is a quasiperiodic analytic matrix, is considered. It is proved that, for most values of the frequencies, the system is reducible.http://dx.doi.org/10.1155/S0161171203206025 |
| spellingShingle | Xiaoping Yuan Ana Nunes A note on the reducibility of linear differential equations with quasiperiodic coefficients International Journal of Mathematics and Mathematical Sciences |
| title | A note on the reducibility of linear differential equations with quasiperiodic coefficients |
| title_full | A note on the reducibility of linear differential equations with quasiperiodic coefficients |
| title_fullStr | A note on the reducibility of linear differential equations with quasiperiodic coefficients |
| title_full_unstemmed | A note on the reducibility of linear differential equations with quasiperiodic coefficients |
| title_short | A note on the reducibility of linear differential equations with quasiperiodic coefficients |
| title_sort | note on the reducibility of linear differential equations with quasiperiodic coefficients |
| url | http://dx.doi.org/10.1155/S0161171203206025 |
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