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＜E-Book＞
Exponentially Dichotomous Operators and Applications / by Cornelis V. M. van der Mee
(Linear Operators and Linear Systems. ISSN:25043617 ; 182)

Edition	1st ed. 2008.
Publisher	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
Year	2008
Language	English
Size	XV, 224 p : online resource
Authors	*van der Mee, Cornelis V. M author SpringerLink (Online service)
Subjects	LCSH:Operator theory LCSH:Differential equations FREE:Operator Theory FREE:Differential Equations
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-7643-8732-7

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