Principal Floquet subspaces and exponential separations of type II with applications to random delay differential equations
Dynamical Systems
2020-01-01 v1 Classical Analysis and ODEs
Abstract
This paper deals with the study of principal Lyapunov exponents, principal Floquet subspaces, and exponential separation for positive random linear dynamical systems in ordered Banach spaces. The main contribution lies in the introduction of a new type of exponential separation, called of type II, important for its application to nonautonomous random differential equations with delay. Under weakened assumptions, the existence of an exponential separation of type II in an abstract general setting is shown, and an illustration of its application to dynamical systems generated by scalar linear random delay differential equations with finite delay is given.
Keywords
Cite
@article{arxiv.1705.01319,
title = {Principal Floquet subspaces and exponential separations of type II with applications to random delay differential equations},
author = {Janusz Mierczyński and Sylvia Novo and Rafael Obaya},
journal= {arXiv preprint arXiv:1705.01319},
year = {2020}
}
Comments
31 pages; submitted for publication