Stability of nonautonomous differential equations/
Luis Barreira, Claudia Valls.
- Berlin; New York: Springer, c2008.
- xiv, 285 p.: ill.; 24 cm.
- Lecture notes in mathematics; 1926, 0075-8434 .
- Lecture notes in mathematics (Springer-Verlag); 1926. .
Includes bibliographical references (p. [277]-281) and index.
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 spac .