Admissibility and nonuniform polynomial dichotomies
Dynamical Systems
2019-06-04 v2 Classical Analysis and ODEs
Abstract
For a general one-sided nonautonomous dynamics defined by a sequence of linear operators, we consider the notion of a polynomial dichotomy with respect to a sequence of norms and we characterize it completely in terms of the admissibility of bounded solutions. As a nontrivial application, we establish the robustness of the notion of a nonuniform polynomial dichotomy.
Keywords
Cite
@article{arxiv.1808.02126,
title = {Admissibility and nonuniform polynomial dichotomies},
author = {Davor Dragicevic},
journal= {arXiv preprint arXiv:1808.02126},
year = {2019}
}
Comments
Revised version accepted by Mathematische Nachrichten