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portada stability of nonautonomous differential equations
Formato
Libro Físico
Editorial
Idioma
Inglés
N° páginas
291
Encuadernación
Tapa Blanda
Dimensiones
23.4 x 15.8 x 1.7 cm
Peso
0.46 kg.
ISBN
3540747745
ISBN13
9783540747741

stability of nonautonomous differential equations

Luis Barreira (Autor) · Claudia Valls (Autor) · Springer · Tapa Blanda

stability of nonautonomous differential equations - Barreira, Luis ; Valls, Claudia

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Reseña del libro "stability of nonautonomous differential equations"

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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