Electronic Journal of Differential Equations, Vol. 2024 (2024), No. 45, pp. 1-15.

Title: Oseledets decomposition on sub semiflow

Author: Marek Kryspin (Wroclaw Univ. of Science and Tech., Poland)

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.