Admissible Banach function spaces and nonuniform stabilities
Dynamical Systems
2020-02-11 v4 Classical Analysis and ODEs
Abstract
For nonuniform exponentially bounded evolution families defined on Banach spaces, we introduce a class of Banach function spaces, whose norms are completely determined by the nonuniform behaviour of the corresponding evolution family. We generalize a classical theorem of Datko on these spaces. In addition, we obtain new criteria for the existence of nonuniform stability.
Cite
@article{arxiv.1607.01427,
title = {Admissible Banach function spaces and nonuniform stabilities},
author = {Nicolae Lupa and Liviu Horia Popescu},
journal= {arXiv preprint arXiv:1607.01427},
year = {2020}
}