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2018 | OriginalPaper | Chapter

4. Exponential Dichotomies: Continuous Time

Authors : Luís Barreira, Davor Dragičević, Claudia Valls

Published in: Admissibility and Hyperbolicity

Publisher: Springer International Publishing

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Abstract

This chapter is dedicated to the study of the admissibility theory for exponential dichotomies in continuous time. Again, the arguments build on those in Chapter 2, up to substantial technical complications. To the possible extent, we follow the path of Chapter 3. In particular, we consider both a two-sided and a one-sided dynamics given by an evolution family.

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previous chapter Exponential Dichotomies: Discrete Time
next chapter Admissibility: Further Developments
Literature
8.
L. Barreira, C. Valls, Admissibility in the strong and weak senses, Preprint IST, 2017
10.
L. Barreira, D. Dragičević, C. Valls, Strong and weak (L p , L q )-admissibility. Bull. Sci. Math. 138, 721–741 (2014)MathSciNetCrossRef
14.
L. Barreira, D. Dragičević, C. Valls, Admissibility on the half line for evolution families. J. Anal. Math. 132, 157–176 (2017)MathSciNetCrossRefMATH
23.
W. Coppel, Dichotomies in Stability Theory. Lecture Notes in Mathematics, vol. 629 (Springer, New York, 1981)
33.
D. Henry, Exponential dichotomies, the shadowing lemma and homoclinic orbits in Banach spaces. Resenhas 1, 381–401 (1994)MathSciNetMATH
38.
Y. Latushkin, T. Randolph, R. Schnaubelt, Exponential dichotomy and mild solutions of nonautonomous equations in Banach spaces. J. Dyn. Differ. Equ. 10, 489–510 (1998)MathSciNetCrossRefMATH
72.
A. Sasu, Exponential dichotomy for evolution families on the real line. Abstr. Appl. Anal. 2006, 31641, 16 pp. (2006)
Metadata
Title
Exponential Dichotomies: Continuous Time
Authors
Luís Barreira
Davor Dragičević
Claudia Valls
Copyright Year
2018
Book
Admissibility and Hyperbolicity

Print ISBN: 978-3-319-90109-1

Electronic ISBN: 978-3-319-90110-7

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-90110-7_4

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