Extending a theorem of Datko for evolutionary family
Functional Analysis
2020-09-10 v1 Classical Analysis and ODEs
Abstract
In this note, we extend a Datko's result in the paper \cite[1972]{Dat}. In particular, the exponential stability of an evolutionary family is characterized by its pointwise trajectories in which the norm mapping of each pointwise trajectory lies in a Banach function space.
Cite
@article{arxiv.2009.04178,
title = {Extending a theorem of Datko for evolutionary family},
author = {Trinh Viet Duoc},
journal= {arXiv preprint arXiv:2009.04178},
year = {2020}
}