Stability of nonautonomous differential equations
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...
| Main Author: | Barreira, Luís, 1968- |
|---|---|
| Other Authors: | Valls, Claudia., SpringerLink (Online service) |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
©2008.
Berlin ; New York : [2008] |
| Physical Description: |
1 online resource (xiv, 285 pages) : illustrations. |
| Series: |
Lecture notes in mathematics (Springer-Verlag) ;
1926. |
| Subjects: |
Table of Contents:
- Exponential dichotomies and basic properties
- Robustness of nonuniform exponential dichotomies
- Lipschitz stable manifolds
- Smooth stable manifolds in Banach spaces
- A nonautonomous Grobman-Hartman theorem
- Center manifolds in Banach spaces
- Reversibility and equivariance in center manifolds
- Lyapunov regularity and exponential dichotomies
- Lyapunov regularity in Hilbert spaces
- Stability of nonautonomous equations in Hilbert spaces.