03301nam 22006974a 450 991078209890332120200520144314.03-7643-8732-710.1007/978-3-7643-8732-7(CKB)1000000000491984(EBL)364625(OCoLC)288569765(SSID)ssj0000518068(PQKBManifestationID)11318967(PQKBTitleCode)TC0000518068(PQKBWorkID)10492898(PQKB)11198408(SSID)ssj0000492873(PQKBManifestationID)11314116(PQKBTitleCode)TC0000492873(PQKBWorkID)10499328(PQKB)11645411(DE-He213)978-3-7643-8732-7(MiAaPQ)EBC364625(Au-PeEL)EBL364625(CaPaEBR)ebr10253618(PPN)129063320(EXLCZ)99100000000049198420071204d2008 uy 0gerur|n|---|||||txtccrExponentially dichotomous operators and applications[electronic resource] /Cornelis van der Mee1st ed. 2008.Basel ;Boston Birkhäuserc20081 online resource (235 p.)Operator theory, advances and applications ;v. 182.Linear operators and linear systemsDescription based upon print version of record.3-7643-8731-9 Includes bibliographical references (p. [209]-219).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.Operator theory, advances and applications ;v. 182.Operator theory, advances and applications.Linear operators and linear systems.Operator theoryDifferential equations, LinearPerturbation (Mathematics)Operator theory.Differential equations, Linear.Perturbation (Mathematics)515/.724Mee C. V. M. van der(Cornelis Victor Maria)55930MiAaPQMiAaPQMiAaPQBOOK9910782098903321Exponentially dichotomous operators and applications716840UNINA