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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: van der Mee, Cornelis V. M. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2008.
Edición:1st ed. 2008.
Colección:Linear Operators and Linear Systems, 182
Temas:
Operator theory.
Differential equations.
Operator Theory.
Differential Equations.
Acceso en línea:Texto Completo
Descripción
Sumario: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.
Descripción Física:XV, 224 p. online resource.
ISBN:9783764387327
ISSN:2504-3617 ;

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