Exponentially Dichotomous Operators and Applications

Author:   Cornelis V. M. van der Mee
Publisher:   Birkhauser Verlag AG
Edition:   2008 ed.
Volume:   182
ISBN:  

9783764387310


Pages:   224
Publication Date:   17 April 2008
Format:   Hardback
Availability:   In Print   Availability explained
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Exponentially Dichotomous Operators and Applications


Overview

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.

Full Product Details

Author:   Cornelis V. M. van der Mee
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2008 ed.
Volume:   182
Dimensions:   Width: 17.00cm , Height: 1.80cm , Length: 24.40cm
Weight:   0.609kg
ISBN:  

9783764387310


ISBN 10:   3764387319
Pages:   224
Publication Date:   17 April 2008
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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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