Exponentially Dichotomous Operators and Applications (Hardcover)

Cornelis V.M. van der Mee

ISBN 10: 3764387319 / ISBN 13: 9783764387310

Editore: Birkhauser Verlag AG, Basel, 2008

Riguardo questo articolo

Hardcover. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Codice articolo 9783764387310

Dati bibliografici

• Titolo: Exponentially Dichotomous Operators and Applications (Hardcover)
• Editore: Birkhauser Verlag AG, Basel
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 3764387319
• ISBN 13: 9783764387310
• Rilegatura: Hardcover
• 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.