Stability of nonautonomous differential equations [Documento electrónico] / Luis Barreira, Claudia Valls
Language: eng.Country: US - United States of America.Publication: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008Description: XIV, 291 p.ISBN: 978-3-540-74775-8.Series: Lecture Notes in MathematicsSubject - Topical Name: Estabilidade de Lyapunov | Equações diferenciais Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
---|---|---|---|---|---|---|---|---|
E-Books | Biblioteca NOVA FCT | Não Ficção | QA871.SPR FCT 95798 (Browse shelf(Opens below)) | 1 | Available |
Browsing Biblioteca NOVA FCT shelves, Collection: Não Ficção Close shelf browser (Hides shelf browser)
QA865.SPR FCT 82524 Damped oscillations of linear systems, a mathematical introduction | QA871.SPR FCT 81386 Introduction to perturbation methods | QA871.SPR FCT 82096 Singular perturbations, introduction to system order reduction methods with applications | QA871.SPR FCT 95798 Stability of nonautonomous differential equations | QA901.SPR FCT 82223 Lectures on topological fluid mechanics | QA901.SPR FCT 82266 Advances in mathematical fluid mechanics, dedicated to Giovanni Paolo Galdi on the occasion of his 60th birthday | QA911.ELS FCT 85349 Computational fluid dynamics, principles and applications |
Colocação: Online
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.
There are no comments on this title.