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

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.

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Bibliographische Detailangaben
Veröffentlicht in:	Differential equations 2020, Vol.56 (1), p.60-67
1. Verfasser:	Lipnitskii, A. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Difference and Functional Equations Differential equations Liapunov exponents Mathematics Mathematics and Statistics Ordinary Differential Equations Parameters Partial Differential Equations
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	0012-2661 1608-3083
DOI:	10.1134/S0012266120010073