Electron. J. Differential Equations, Vol. 2024 (2024), No. 45, pp. 1-15.

Oseledets decomposition on sub semiflow

Marek Kryspin

Abstract:
The existence of the Oseledets decomposition on continuously embedded subspaces of Banach spaces is proved in this paper. Natural assumptions facilitating such transfer of the Oseledets decomposition are presented, notably conditions often met by dynamical systems generated by differential equations.

Submitted July 4, 2024. Published August 15, 2024.
Math Subject Classifications: 37H15, 34K06.
Key Words: Oseledets decomposition; random dynamical systems; random delay differential systems.
DOI: 10.58997/ejde.2024.45

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Marek Kryspin
Faculty of Pure and Applied Mathematics
Wroclaw University of Science and Technology
Wybrzeze Wyspianskiego 27, PL-50-370 Wroclaw, Poland
email: marek.kryspin@pwr.edu.pl

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