Barreira, Luis 1968-

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 .

9783540747741 (softcover : alk. paper) 3540747745 (softcover : alk. paper)

2007934028


Lyapunov stability.
Differential equations.
Equations différentielles.
Stabilité.
Variétés (Mathématiques).

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