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Item Details
Title: STABILITY OF NONAUTONOMOUS DIFFERENTIAL EQUATIONS
By: Luis Barreira, Claudia Valls
Format: Paperback

List price: £39.99


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ISBN 10: 3540747745
ISBN 13: 9783540747741
Publisher: SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG
Pub. date: 9 October, 2007
Edition: 2008 ed.
Series: Lecture Notes in Mathematics v. 1926
Pages: 291
Description: Discusses the Lyapunov stability of solutions, the existence and smoothness of invariant manifolds, and the construction and regularity of topological conjugacies. This book is suitable for researchers as well as graduate students interested in differential equations and dynamical systems, particularly in stability theory.
Synopsis: The main theme of this volume is the stability of nonautonomous differential equations in Banach spaces in the presence of nonuniform hyperbolicity. In particular, 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. 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.
Illustrations: biography
Publication: Germany
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Returns: Returnable
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DYNAMICAL SYSTEMS (PB)
DYNAMICAL SYSTEMS BY EXAMPLE (HB)
ERGODIC THEORY, HYPERBOLIC DYNAMICS AND DIMENSION THEORY (PB)
EXERCISES IN LINEAR ALGEBRA (HB)
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INTRODUCTION TO SMOOTH ERGODIC THEORY
LYAPUNOV EXPONENTS
LYAPUNOV EXPONENTS (HB)
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ORDINARY DIFFERENTIAL EQUATIONS (HB)
SYNONYMIZED CHECKLIST OF THE VASCULAR FLORA OF THE UNITED STATES, CANADA, AND GREENLAND (PB)
THERMODYNAMIC FORMALISM AND APPLICATIONS TO DIMENSION THEORY (HB)
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