On reducibility of linear quasiperiodic systems with bounded solutions

V. Tkachenko, Institute of Mathematics, National Academy of Sciences of Ukraine, Kiev, Ukraine

E. J. Qualitative Theory of Diff. Equ., Proc. 6'th Coll. Qualitative Theory of Diff. Equ., No. 29. (2000), pp. 1-11.

Abstract: 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.

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