International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2003 / Article

Open Access

Volume 2003 |Article ID 432708 | https://doi.org/10.1155/S0161171203206025

Xiaoping Yuan, Ana Nunes, "A note on the reducibility of linear differential equations with quasiperiodic coefficients", International Journal of Mathematics and Mathematical Sciences, vol. 2003, Article ID 432708, 13 pages, 2003. https://doi.org/10.1155/S0161171203206025

A note on the reducibility of linear differential equations with quasiperiodic coefficients

Received03 Jun 2002

Abstract

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.

Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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