International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 64, Pages 4071-4083
doi:10.1155/S0161171203206025
A note on the reducibility of linear differential equations with quasiperiodic coefficients
Xiaoping Yuan1
and Ana Nunes2
1Department of Mathematics, Fudan University, Shanghai 200433, China
2Centro de Matemática e Aplicações Fundamentais, Universidade de Lisboa, Lisboa 1649-003, Portugal
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.