Exponentially dichotomous operators and applications
著者
書誌事項
Exponentially dichotomous operators and applications
（Operator theory : advances and applications, v. 182 . Linear operators and linear systems）
Birkhäuser, c2008
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注記
Includes bibliographical references (p. [209]-219) and index
内容説明・目次
内容説明
In this monograph the natural evolution operators of autonomous first-order differential equations with exponential dichotomy on an arbitrary Banach space are studied in detail. Characterizations of these so-called exponentially dichotomous operators in terms of their resolvents and additive and multiplicative perturbation results are given. This is the first book at graduate level on autonomous first-order differential equations with exponential dichotomy in a Banach space.
目次
Exponentially Dichotomous operators and Bisemigroups.- Perturbing Exponentially Dichotomous Operators.- Abstract Cauchy problems.- Riccati Equations and Wiener-Hopf Factorization.- Transport Equations.- Indefinite Sturm-Liouville Problems.- Noncausal Continuous Time Systems.- Mixed-type Functional Differential Equations.
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