Exponentially Dichotomous Operators and Applications
By: Mee, Cornelis van der [author.].
Contributor(s): SpringerLink (Online service)0.
Material type:
BookSeries: Operator Theory: Advances and Applications, Linear Operators and Linear Systems ; 1820.Publisher: Basel : Birkh�user Basel, 2008. Description: XV, 224 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783764387327.Subject(s): Mathematics | Operator theory | Differential equations.1 | Mathematics.2 | Operator Theory.2 | Ordinary Differential Equations.2DDC classification: 515.724 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
| PK Kelkar Library, IIT Kanpur | Available | EBK10460 |
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.
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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