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References (8)
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Generalized Exponential Dichotomies and Invariant Manifolds for Differential EquationsAdvances in Math., 22
- 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 Sinica – Springer Journals
Published: Jul 16, 2005