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Exponentially Dichotomous Operators and Applications

Exponentially Dichotomous Operators and Applications

Hardcover

General Mathematics

ISBN10: 3764387319
ISBN13: 9783764387310
Publisher: Birkhauser
Published: Apr 17 2008
Pages: 224
Weight: 1.25
Height: 0.70 Width: 6.50 Depth: 9.20
Language: English
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.

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General Mathematics