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Stability of Nonautonomous Differential Equations: 1926 (Lecture Notes in Mathematics) - Tapa blanda
Sinopsis
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.
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Acerca del autor
Luis Barreira is a Full Professor of Mathematics at Instituto Superior Técnico, Lisbon and a member of the Center for Mathematical Analysis, Geometry, and Dynamical Systems. He obtained his PhD from the Pennsylvania State University in 1996. In 2007 he has been awarded the Gulbenkian Science Prize.
Claudia Valls is an Invited Assistant Professor at Instituto Superior Técnico, Lisbon and a Postdoctoral Fellow at the Center for Mathematical Analysis, Geometry, and Dynamical Systems, of which she is also a member. She obtained her PhD from the Universitat de Barcelona in 1999.
De la contraportada
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.
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Stability of Nonautonomous Differential Equations.
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Berlin, Springer., 2008
ISBN 10: 3540747745
ISBN 13: 9783540747741
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Librería: Universitätsbuchhandlung Herta Hold GmbH, Berlin, Alemania
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XIV, 285 p. Softcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Gestempelt. Lecture Notes in Mathematics, Vol. 1926 Sprache: Englisch. Nº de ref. del artículo: 4013DB
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Stability of Nonautonomous Differential Equations (Lecture Notes in Mathematics, 1926)
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Condición: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Nº de ref. del artículo: Z1-A-013-02524
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Stability Of Nonautonomous Differential Equations (Pb)
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Stability of Nonautonomous Differential Equations
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Stability of Nonautonomous Differential Equations
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Condición: New. pp. xiv + 285 1st Edition. Nº de ref. del artículo: 26301082
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Stability of Nonautonomous Differential Equations (Lecture Notes in Mathematics, 1926)
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Stability of Nonautonomous Differential Equations
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Springer Berlin Heidelberg Okt 2007, 2007
ISBN 10: 3540747745
ISBN 13: 9783540747741
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 308 pp. Englisch. Nº de ref. del artículo: 9783540747741
Cantidad disponible: 2 disponibles
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Stability of Nonautonomous Differential Equations
Publicado por
Springer Berlin Heidelberg, 2007
ISBN 10: 3540747745
ISBN 13: 9783540747741
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: 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. Nº de ref. del artículo: 9783540747741
Cantidad disponible: 1 disponibles