Stability of nonautonomous differential equations /

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Bibliographic Details
Author / Creator:Barreira, Luis, 1968-
Imprint:Berlin ; New York : Springer, ©2008.
Description:1 online resource (xiv, 285 pages) : illustrations.
Language:English
Series:Lecture notes in mathematics, 0075-8434 ; 1926
Lecture notes in mathematics (Springer-Verlag) ; 1926.
Subject:Lyapunov stability.
Differential equations.
Differential equations.
Lyapunov stability.
Équations différentielles.
Stabilité
Variétés (Mathématiques)
Differential equations.
Lyapunov stability.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11068121
Hidden Bibliographic Details
Other authors / contributors:Valls, Claudia.
ISBN:9783540747758
3540747753
3540747745
9783540747741
Notes:Includes bibliographical references (pages 277-281) and index.
Print version record.
Summary:Main theme of this volume is the stability of nonautonomous differential equations, with emphasis on the Lyapunov stability of solutions, the existence and smoothness of invariant manifolds, the construction and regularity of topological conjugacies, the study of center manifolds, as well as their reversibility and equivariance properties. Most results are obtained in the infinite-dimensional setting of Banach spaces. Furthermore, the linear variational equations are always assumed to possess a nonuniform exponential behavior, given either by the existence of a nonuniform exponential contraction or a nonuniform exponential dichotomy. The presentation is self-contained and has unified character. The volume contributes towards a rigorous mathematical foundation of the theory in the infinite-dimension setting, and may lead to further developments in the field. The exposition is directed to researchers as well as graduate students interested in differential equations and dynamical systems, particularly in stability theory.
Other form:Print version: Barreira, Luis, 1968- Stability of nonautonomous differential equations. Berlin ; New York : Springer, ©2008 9783540747741
Standard no.:10.1007/978-3-540-74775-8