Exponentially dichotomous operators and applications / Cornelis van der Mee.

Format:

Book

Author/Creator:

Mee, C. V. M. van der (Cornelis Victor Maria)

Series:

Operator theory, advances and applications ; v. 182.

Operator theory, advances and applications. Linear operators and linear systems.

Operator theory, advances and applications ; v. 182. Linear operators and linear systems

Language:

English

German

Subjects (All):

Operator theory.

Differential equations, Linear.

Perturbation (Mathematics).

Physical Description:

1 online resource (235 p.)

Edition:

1st ed. 2008.

Place of Publication:

Basel ; Boston : Birkhauser, c2008.

Language Note:

English

Summary:

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.

Contents:

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.

Notes:

Description based upon print version of record.

Includes bibliographical references (p. [209]-219).

ISBN:

9783764387327

3764387327

OCLC:

288569765