Sprache: Englisch
Verlag: Springer Berlin / Heidelberg, 2007
ISBN 10: 3540747745 ISBN 13: 9783540747741
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In den WarenkorbZustand: New. pp. xiv + 285.
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Sprache: Englisch
Verlag: Springer Berlin Heidelberg, 2007
ISBN 10: 3540747745 ISBN 13: 9783540747741
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Sprache: Englisch
Verlag: Springer, Springer Vieweg, 2007
ISBN 10: 3540747745 ISBN 13: 9783540747741
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The main theme of this book is the stability of nonautonomous di erential equations, with emphasis on the study of the existence and smoothness of invariant manifolds, and the Lyapunov stability of solutions. We always c- sider a nonuniform exponential behavior of the linear variational equations, given by the existence of a nonuniform exponential contraction or a nonu- form exponential dichotomy. Thus, the results hold for a much larger class of systems than in the 'classical' theory of exponential dichotomies. Thedeparturepointofthebookisourjointworkontheconstructionof- variant manifolds for nonuniformly hyperbolic trajectories of nonautonomous di erential equations in Banach spaces. We then consider several related - velopments,concerningtheexistenceandregularityoftopologicalconjugacies, the construction of center manifolds, the study of reversible and equivariant equations, and so on. The presentation is self-contained and intends to c- vey the full extent of our approach as well as its uni ed character. The book contributes towards a rigorous mathematical foundation for the theory in the in nite-dimensional setting, also with the hope that it may lead to further developments in the eld. The exposition is directed to researchers as well as graduate students interested in di erential equations and dynamical systems, particularly in stability theory.
Taschenbuch. Zustand: Neu. Stability of Nonautonomous Differential Equations | Luis Barreira (u. a.) | Taschenbuch | Lecture Notes in Mathematics | xiv | Englisch | 2007 | Springer | EAN 9783540747741 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.