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Notes on generalized exponential dichotomies

Notes on generalized exponential dichotomies Based on the theory of generalized exponential dichotomies, some typical nonautonomous linear systems with time-translation parameters or with time-scale parameters are discussed. Conditions of parameters are given to determine by spectral gaps the generalized exponential dichotomies of those systems and their localL'-limit systems. These conclusions are applied to so-called SVC systems and HFO systems for their stability. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Notes on generalized exponential dichotomies

Acta Mathematicae Applicatae Sinica , Volume 12 (4) – Jul 16, 2005

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Publisher
Springer Journals
Copyright
Copyright © 1996 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02029066
Publisher site
See Article on Publisher Site

Abstract

Based on the theory of generalized exponential dichotomies, some typical nonautonomous linear systems with time-translation parameters or with time-scale parameters are discussed. Conditions of parameters are given to determine by spectral gaps the generalized exponential dichotomies of those systems and their localL'-limit systems. These conclusions are applied to so-called SVC systems and HFO systems for their stability.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 16, 2005

References