Upper Semicontinuity of the Upper Lyapunov Exponent of Millionshchikov Linear Differential Systems with an Affine Parameter

摘要

For one-parameter families of linear differential systems of a special class containing Lyapunov irregular systems with quasiperiodic coefficients, we prove that the upper Lyapunov exponent as a function of a real affine parameter is upper semicontinuous almost everywhere.