Exponential dichotomy on the real line: SVD and QR methods
type: Item
instance of: scholarly article
title: Exponential dichotomy on the real line: SVD and QR methods
zbMATH Open document ID: 1205.34062
author: Luca Dieci
author: Cinzia Elia
author: E. Van Vleck
published in: Journal of Differential Equations
publication date: 2010-01-05T00:00:00Z
review text: In this nicely written paper, the authors show how certain techniques based on the singular value decomposition (SVD) or on the QR decomposition of the fundamental matrix solution can be used to determine whether or not a system has exponential dichotomy on the real line. They also point out that for several classes of differential equations the existence of exponential dichotomy may be determined from information on finite intervals up to exponentially small perturbations.
reviewed by: Bogdan Sasu
Mathematics Subject Classification ID: 34D09
Mathematics Subject Classification ID: 34D08
zbMATH DE Number: 5653488
zbMATH Keywords: exponential dichotomy
zbMATH Keywords: Sacker-Sell spectrum
zbMATH Keywords: Lyapunov exponents
MaRDI profile type: Publication
full work available at URL: j.jde.2009.07.004
OpenAlex ID: W2064184637
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DOI: 10.1016/J.JDE.2009.07.004
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description: scientific article; zbMATH DE number 5653488