Exponentially dichotomous operators and applications
By: Cornelis van der Mee.
Series: Operator theory, advances and applications -- v. 182. -- Linear operators and linear systems; Operator theory, advances and applications -- v. 182.; Operator theory, advances and applications
Publisher: Birkhäuser
Published: 2008
Place of publication: Basel; Boston
Language: ger
Number of pages: 224
ISBN-13: 9783764387310
Subjects: Operator theory; Differential equations, Linear; Perturbation (Mathematics)
Description: 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.
Notes: Includes bibliographical references (p. [209]-219).