Nonuniform Almost Reducibility of Nonautonomous Linear Differential Equations
Dynamical Systems
2019-09-24 v4
Abstract
We prove that a linear nonautonomous differential system with nonuniform hyperbolicity on the half line can be expressed as diagonal system with a perturbation which is small enough. Moreover we show that the diagonal terms are contained in the nonuniform exponential dichotomy spectrum. For this purpose we introduce the concepts of \textit{nonuniform almost reducibility} and \textit{nonuniform contractibility} which are generalization of this notions originally defined in a uniform context.
Keywords
Cite
@article{arxiv.1712.04917,
title = {Nonuniform Almost Reducibility of Nonautonomous Linear Differential Equations},
author = {Álvaro Castañeda and Ignacio Huerta},
journal= {arXiv preprint arXiv:1712.04917},
year = {2019}
}