Exponentially Dichotomous Operators and Applications

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 mul...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: van der Mee, Cornelis V. M. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2008.
Edition:1st ed. 2008.
Series:Linear Operators and Linear Systems, 182
Subjects:
Operator theory.
Differential equations.
Operator Theory.
Differential Equations.
Online Access:Texto Completo
Description
Summary: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. The general theory of the first three chapters is then followed by applications to Wiener-Hopf factorization and Riccati equations, transport equations, diffusion equations of indefinite Sturm-Liouville type, noncausal infinite-dimensional linear continuous-time systems, and functional differential equations of mixed type.
Physical Description:XV, 224 p. online resource.
ISBN:9783764387327
ISSN:2504-3617 ;

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