Stability of Nonautonomous Differential Equations

• Κύριοι συγγραφείς: Barreira, Luis (Συγγραφέας), Valls, Claudia (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Σειρά: Lecture Notes in Mathematics, 1926
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Differential equations.; Ordinary Differential Equations.; Dynamical Systems and Ergodic Theory.

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 r...

Πίνακας περιεχομένων:

• Exponential dichotomies
• Exponential dichotomies and basic properties
• Robustness of nonuniform exponential dichotomies
• Stable manifolds and topological conjugacies
• Lipschitz stable manifolds
• Smooth stable manifolds in Rn
• Smooth stable manifolds in Banach spaces
• A nonautonomous Grobman–Hartman theorem
• Center manifolds, symmetry and reversibility
• Center manifolds in Banach spaces
• Reversibility and equivariance in center manifolds
• Lyapunov regularity and stability theory
• Lyapunov regularity and exponential dichotomies
• Lyapunov regularity in Hilbert spaces
• Stability of nonautonomous equations in Hilbert spaces.