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

Editore: Springer, 2008

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pp. xv + 224.

Codice articolo 18294645

Dati bibliografici

• Titolo: Exponentially Dichotomous Operators and Applications
• Editore: Springer
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 3764387319
• ISBN 13: 9783764387310
• Rilegatura: Rilegato
• Condizione: New

Descrizione articolo

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.