One-parameter semigroups for linear evolution equations
著者
書誌事項
One-parameter semigroups for linear evolution equations
(Graduate texts in mathematics, 194)
Springer, c2000
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注記
Bibliography: p. 555-576
Includes index
内容説明・目次
内容説明
This book explores the theory of strongly continuous one-parameter semigroups of linear operators. A special feature of the text is an unusually wide range of applications such as to ordinary and partial differential operators, to delay and Volterra equations, and to control theory. Also, the book places an emphasis on philosophical motivation and the historical background.
目次
Linear Dynamical Systems.- Semigroups, Generators, and Resolvents.- Perturbation and Approximation of Semigroups.- Spectral Theory for Semigroups and Generators.- Asymptotics of Semigroups.- Semigroups Everywhere.- A Brief History of the Exponential Function.
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