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OverviewIn 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. Full Product DetailsAuthor: Cornelis V. M. van der MeePublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: 2008 ed. Volume: 182 Dimensions: Width: 17.00cm , Height: 1.80cm , Length: 24.40cm Weight: 0.609kg ISBN: 9783764387310ISBN 10: 3764387319 Pages: 224 Publication Date: 17 April 2008 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsExponentially 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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