Generalized evolution semigroups and general dichotomies
Classical Analysis and ODEs
2023-03-29 v1 Dynamical Systems
Abstract
We introduce a special class of real semiflows, which is used to define a general type of evolution semigroups, associated to not necessarily exponentially bounded evolution families. Giving spectral characterizations of the corresponding generators, our results directly apply to a wide class of dichotomies, such as those with time-varying rate of change.
Cite
@article{arxiv.2206.05996,
title = {Generalized evolution semigroups and general dichotomies},
author = {Nicolae Lupa and Liviu Horia Popescu},
journal= {arXiv preprint arXiv:2206.05996},
year = {2023}
}