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- catalog abstract "This book gives an up-to-date account of the theory of strongly continuous one-parameter semigroups of linear operators. It includes a systematic discussion of the spectral theory and the long-term behavior of such semigroups. A special feature of the text is an unusually wide range of applications, e.g., to ordinary and partial differential operators, delay and Volterra equations and to control theory, and an emphasis on philosophical motivation and the historical background. The book is written for students, but should also be of value for researchers interested in this field.".
- catalog contributor b11451429.
- catalog contributor b11451430.
- catalog created "2000.".
- catalog date "2000".
- catalog date "2000.".
- catalog dateCopyrighted "2000.".
- catalog description "Includes bibliographical references and index.".
- catalog description "Linear Dynamical Systems -- Semigroups, Generators and Resolvents -- Perturbation and Approximation of Semigroups -- Spectral Theory for Semigroups and Generators -- Asymptotics of Semigroups -- Semigroups Everywhere -- History of the Exponential Function -- Appendices.".
- catalog description "This book gives an up-to-date account of the theory of strongly continuous one-parameter semigroups of linear operators. It includes a systematic discussion of the spectral theory and the long-term behavior of such semigroups. A special feature of the text is an unusually wide range of applications, e.g., to ordinary and partial differential operators, delay and Volterra equations and to control theory, and an emphasis on philosophical motivation and the historical background. The book is written for students, but should also be of value for researchers interested in this field.".
- catalog extent "xxi, 586 p. ;".
- catalog identifier "0387984631 (alk. paper)".
- catalog isPartOf "Graduate texts in mathematics ; 194".
- catalog issued "2000".
- catalog issued "2000.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "515/.353 21".
- catalog subject "Evolution equations.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Mathematics.".
- catalog subject "QA329 .E54 1999".
- catalog subject "Semigroups of operators.".
- catalog tableOfContents "Linear Dynamical Systems -- Semigroups, Generators and Resolvents -- Perturbation and Approximation of Semigroups -- Spectral Theory for Semigroups and Generators -- Asymptotics of Semigroups -- Semigroups Everywhere -- History of the Exponential Function -- Appendices.".
- catalog title "One-parameter semigroups for linear evolution equations / Klaus-Jochen Engel, Rainer Nagel.".
- catalog type "text".