Luis Barreira,
Claudia Valls
Springer Berlin Heidelberg
2008e druk, 2007
9783540747741
Stability of Nonautonomous Differential Equations
Specificaties
Paperback, 291 blz.
|
Engels
Springer Berlin Heidelberg |
2008e druk, 2007
ISBN13: 9783540747741
Rubricering
Onderdeel van serie
Lecture Notes in Mathematics
Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
This volume covers the stability of nonautonomous differential equations in Banach spaces in the presence of nonuniform hyperbolicity. 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.
Specificaties
ISBN13:9783540747741
Taal:Engels
Bindwijze:paperback
Aantal pagina's:291
Uitgever:Springer Berlin Heidelberg
Druk:2008
Inhoudsopgave
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.