On reducibility of linear quasiperiodic systems with bounded solutions

It is proved that nonreducible systems form a dense $G_{\delta}$ subset in the space of systems of linear differential equations with quasiperiodic skew-symmetric matrices and fix frequency module. There exists an open set of nonreducible systems in this space.

Bibliographic Details
Main Author: Viktor Tkachenko
Format: Article
Language:English
Published: University of Szeged 2000-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=55