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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Zustand: New. Focuses on the spectral theory for evolution operators and evolution semigroups, a subject tracing its origins to the classical results of J Mather on hyperbolic dynamical systems and J Howland on nonautonomous Cauchy problems. This book includes a collection of examples from different areas of analysis, PDEs, and dynamical systems. Series: Mathematical Surveys and Monographs. Num Pages: 361 pages, bibliograph, notes, index. BIC Classification: PBKJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 230 x 0 x 0. Weight in Grams: 879. . 1999. Hardcover. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821811856
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