Exact bounds for exponential dichotomy roughness. I: Strong dichotomy
type: Item
instance of: scholarly article
title: Exact bounds for exponential dichotomy roughness. I: Strong dichotomy
zbMATH Open document ID: 0651.34051
DOI: 10.1016/0022-0396(88)90038-1
author: Robert Vinograd
published in: Journal of Differential Equations
publication date: 1988-01-01T00:00:00Z
review text: The author considers the unperturbed and perturbed equations (1) \(x'=A(t)x\) and (2) \(y'=[A(t)+B(t)]y,\) where \(t\in {\mathbb{R}}_+\) and A and B are \(n\times n\) matrices. It is shown that if (1) has strong dichotomy on \({\mathbb{R}}_+\), then (2) also has a dichotomy and exact estimates on the exponential dichotomy roughness are obtained.
Mathematics Subject Classification ID: 34D05
zbMATH DE Number: 4061706
zbMATH Keywords: strong dichotomy
zbMATH Keywords: exponential dichotomy roughness
MaRDI profile type: Publication
full work available at URL: 0022-0396(88)90038-1
OpenAlex ID: W4210494825
cites work: Dichotomies in stability theory
cites work: Q4774403
cites work: Q5599358
description: scientific article; zbMATH DE number 4061706