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The Resource Admissibility and Hyperbolicity, by Luís Barreira, Davor Dragičević, Claudia Valls, (electronic book)

Admissibility and Hyperbolicity, by Luís Barreira, Davor Dragičević, Claudia Valls, (electronic book)

Label
Admissibility and Hyperbolicity
Title
Admissibility and Hyperbolicity
Statement of responsibility
by Luís Barreira, Davor Dragičević, Claudia Valls
Creator
Contributor
Author
Subject
Language
eng
Summary
This book gives a comprehensive overview of the relationship between admissibility and hyperbolicity. Essential theories and selected developments are discussed with highlights to applications. The dedicated readership includes researchers and graduate students specializing in differential equations and dynamical systems (with emphasis on hyperbolicity) who wish to have a broad view of the topic and working knowledge of its techniques. The book may also be used as a basis for appropriate graduate courses on hyperbolicity; the pointers and references given to further research will be particularly useful. The material is divided into three parts: the core of the theory, recent developments, and applications. The first part pragmatically covers the relation between admissibility and hyperbolicity, starting with the simpler case of exponential contractions. It also considers exponential dichotomies, both for discrete and continuous time, and establishes corresponding results building on the arguments for exponential contractions. The second part considers various extensions of the former results, including a general approach to the construction of admissible spaces and the study of nonuniform exponential behavior. Applications of the theory to the robustness of an exponential dichotomy, the characterization of hyperbolic sets in terms of admissibility, the relation between shadowing and structural stability, and the characterization of hyperbolicity in terms of Lyapunov sequences are given in the final part.
Member of
Cataloging source
AZU
http://library.link/vocab/creatorDate
1968-
http://library.link/vocab/creatorName
Barreira, Luis
Dewey number
515.42
Index
index present
LC call number
QA313
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1973-
http://library.link/vocab/relatedWorkOrContributorName
  • Dragičević, Davor
  • Valls, Claudia
http://library.link/vocab/subjectName
  • Mathematics
  • Difference equations
  • Functional equations
  • Dynamics
  • Ergodic theory
  • Differential equations
Label
Admissibility and Hyperbolicity, by Luís Barreira, Davor Dragičević, Claudia Valls, (electronic book)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Introduction -- 2. Exponential Contractions -- 3. Exponential Dichotomies: Discrete Time -- 4. Exponential Dichotomies: Continuous Time -- 5. Admissibility: Further Developments -- 6. Applications of Admissibility -- References -- Index
Dimensions
unknown
Extent
1 online resource (ix, 145 p.)
File format
multiple file formats
Form of item
online
Isbn
9783319901091
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-90110-7
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • on1034551609
  • (OCoLC)1034551609
Label
Admissibility and Hyperbolicity, by Luís Barreira, Davor Dragičević, Claudia Valls, (electronic book)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Introduction -- 2. Exponential Contractions -- 3. Exponential Dichotomies: Discrete Time -- 4. Exponential Dichotomies: Continuous Time -- 5. Admissibility: Further Developments -- 6. Applications of Admissibility -- References -- Index
Dimensions
unknown
Extent
1 online resource (ix, 145 p.)
File format
multiple file formats
Form of item
online
Isbn
9783319901091
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-90110-7
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • on1034551609
  • (OCoLC)1034551609

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