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Stability of Nonautonomous Differential Equations / Claudia Valls (u. a.) / Taschenbuch / Lecture Notes in Mathematics / Paperback / XIV / Englisch / 2007 / Springer-Verlag GmbH / EAN 9783540747741 - Taschenbuch

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Barreira, Luis, Valls, Claudia:
Stability of Nonautonomous Differential Equations: 1926 (Lecture Notes in Mathematics, 1926) - Taschenbuch

2007, ISBN: 9783540747741

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Barreira, Luis:
Stability of Nonautonomous Differential Equations (Lecture Notes in Mathematics, 1926) - Taschenbuch

2007, ISBN: 3540747745

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Bibliographische Daten des bestpassenden Buches

Details zum Buch
Stability of Nonautonomous Differential Equations: 1926 (Lecture Notes in Mathematics, 1926)

This volume covers the stability of nonautonomous differential equations in Banach spaces in the presence of nonuniform hyperbolicity. Topics under discussion include the Lyapunov stability of solutions, the existence and smoothness of invariant manifolds, and the construction and regularity of topological conjugacies. The exposition is directed to researchers as well as graduate students interested in differential equations and dynamical systems, particularly in stability theory.

Detailangaben zum Buch - Stability of Nonautonomous Differential Equations: 1926 (Lecture Notes in Mathematics, 1926)


EAN (ISBN-13): 9783540747741
ISBN (ISBN-10): 3540747745
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 9
Herausgeber: Springer

Buch in der Datenbank seit 2007-12-02T15:00:53+01:00 (Berlin)
Detailseite zuletzt geändert am 2024-04-19T20:26:30+02:00 (Berlin)
ISBN/EAN: 3540747745

ISBN - alternative Schreibweisen:
3-540-74774-5, 978-3-540-74774-1
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: vall, barre, claudia, luis barreira, luis val, lyapunov
Titel des Buches: lecture notes mathematics, differential equations, stability


Daten vom Verlag:

Autor/in: Luis Barreira; Claudia Valls
Titel: Lecture Notes in Mathematics; Stability of Nonautonomous Differential Equations
Verlag: Springer; Springer Berlin
291 Seiten
Erscheinungsjahr: 2007-10-09
Berlin; Heidelberg; DE
Sprache: Englisch
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
Available
XIV, 291 p.

BC; Hardcover, Softcover / Mathematik/Analysis; Differentialrechnung und -gleichungen; Verstehen; Mathematik; Lyapunov stability; Stability theory; center manifolds; invariant manifolds; nonuniform hyperbolicity; topological conjugacies; ordinary differential equations; Differential Equations; Dynamical Systems; Kybernetik und Systemtheorie; EA

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.
Includes supplementary material: sn.pub/extras

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9783540747758 Stability of Nonautonomous Differential Equations (Philipp Kolo)


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