Exponentially Dichotomous Operators and Applications

Cornelis V. M. van der Mee Mee C V M van der Mee Cornelis V. M. van der Mee Cornelis V.M.

ISBN 10: 3764387319 / ISBN 13: 9783764387310

Published by Springer, 2008

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pp. xv + 224 Illus. Seller Inventory # 7586080

Bibliographic Details

Title: Exponentially Dichotomous Operators and ...

Publisher: Springer

Publication Date: 2008

Binding: Hardcover

Condition: New

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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.