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Exponentially Dichotomous Operators and Applications

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Exponentially Dichotomous Operators and Applications Synopsis

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.

About This Edition

ISBN: 9783764387310
Publication date:
Author: C V M van der Mee
Publisher: Birkhauser an imprint of Birkhäuser Basel
Format: Hardback
Pagination: 248 pages
Series: Operator Theory, Advances and Applications
Genres: Functional analysis and transforms
Differential calculus and equations

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