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Exponentially Dichotomous Operators and Applications / by Cornelis Mee; edited by I. Gohberg, D. Alpay, J. Arazy, A. Atzmon, J. A. Ball, A. Ben-Artzi, H. Bercovici, A. Böottcher, K. Clancey, L. A. Coburn, R. E. Curto, K. R. Davidson, R. G. Douglas, A. Dijksma, H. Dym, P. A. Fuhrmann, B. Gramsch, J. A. Helton, M. A. Kaashoek, H. G. Kaper, S. T. Kuroda, P. Lancaster, L. E. Lerer, B. Mityagin, V. Olshevsky, M. Putinar, L. Rodman, J. Rovnyak, D. E. Sarason, I. M. Spitkovsky, S. Treil, H. Upmeier, S. M. Verduyn Lunel, D. Voiculescu, D. Xia, D. Yafaev, Daniel Alpay, Joseph A. Ball, André M. C. Ran

Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Operator Theory: Advances and Applications, Linear Operators and Linear Systems ; 182 | SpringerLink BücherPublisher: Basel : Birkhäuser Verlag AG, 2008Description: Online-Ressource (digital)ISBN:
  • 9783764387327
Subject(s): Additional physical formats: 9783764387310 | Buchausg. u.d.T.: Exponentially dichotomous operators and applications. Basel : Birkhäuser, 2008. XV, 224 S.DDC classification:
  • 515.724
  • 515/.724 22
  • 515.7246 22/ger
MSC: MSC: *47-02 | 47D06 | 34-02 | 34G10 | 34B24 | 35K50 | 47A55RVK: RVK: SK 620LOC classification:
  • QA329-329.9
  • QA329
DOI: DOI: 10.1007/978-3-7643-8732-7Online resources: Summary: 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.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.PPN: PPN: 1647506050Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-SMA
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