Titolo: Exponentially Dichotomous Operators and Applications (Operator Theory: Advances and Applications, 182)
Editore: Birkh�user
Data di pubblicazione: 2008
Lingua: Inglese
ISBN 10: 3764387319
ISBN 13: 9783764387310
Rilegatura: Rilegato
Condizione: New

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Riassunto

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. This is the first book at graduate level on autonomous first-order differential equations with exponential dichotomy in a Banach space.

Contenuti

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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