Evolution Semigroups in Dynamical Systems and Differential Equations (Mathematical Surveys & Monographs) - Hardcover

Chicone, Carmen; Latushkin, Yuri

 
9780821811856: Evolution Semigroups in Dynamical Systems and Differential Equations (Mathematical Surveys & Monographs)

Inhaltsangabe

The authors (mathematicians of unknown affiliations) characterize asymptotic properties (stability, hyperbolicity, exponential dichotomy) of linear differential equations on Banach spaces and infinite dimensional dynamical systems in terms of spectral properties of a special type of associated continuous semigroups of linear operators, the theory of nonautonomous abstract Cauchy problems on Banach spaces, the theory of C*- and Banach algebras, ergodic theory, the theory of hyperbolic dynamical systems, and Lyapunov exponents. Applications are provided to linear control theory, magnetohydrodynamics, and the theory of transfer operators. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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