04075nam 2200709 450 991082035880332120230607232416.03-11-094092-210.1515/9783110940923(CKB)3390000000062277(SSID)ssj0001406647(PQKBManifestationID)11888520(PQKBTitleCode)TC0001406647(PQKBWorkID)11402061(PQKB)11586155(MiAaPQ)EBC3049419(DE-B1597)57191(OCoLC)1013937120(OCoLC)900796446(DE-B1597)9783110940923(Au-PeEL)EBL3049419(CaPaEBR)ebr11008766(CaONFJC)MIL807287(OCoLC)922949853(EXLCZ)99339000000006227720020124d2001 uy| 0engurcnu||||||||txtccrAn introduction to identification problems via functional analysis /A. LorenziReprint 2014Utrecht ;Boston :VSP,2001.1 online resource (254 pages) illustrationsInverse and ill-posed problems series,1381-4524Bibliographic Level Mode of Issuance: Monograph3-11-036411-5 90-6764-349-1 Includes bibliographical references.Frontmatter -- Preface -- Contents -- Introduction -- Chapter 1. Parameter Identification In Linear Ordinary Differential Equations -- Chapter 2. Identification Problems In Hilbert Spaces -- Chapter 3. Proper Riemann Integrals For Banach-Valued Functions. Curvilinear Integrals And Banach-Valued Holomorphic Functions -- Chapter 4. Riemann-Stieltj Es Integrals Of Banach-Valued Functions -- Chapter 5. Improper Riemann Integrals For Banach Space-Valued Functions -- Chapter 6. Banach Algebras And Spectral Analysis For Linear Bounded Operators -- Chapter 7. Identifying Parameters In First-Order Partial Differential Equations -- Chapter 8. Identification Problems Relative To Linear Bounded Operators I -- Chapter 9. Identification Problems Relative To Linear Bounded Operators Ii -- Chapter 10. Analysis Of The Continuous Dependence On The Data -- Chapter 11. Linear Closed Operators And Analytic Semigroups Of Linear Bounded Operators -- Chapter 12. Cauchy Problems For Linear Abstract Differential Equations Relative To Sectorial Operators And Applications -- Chapter 13. Identification Problems For Linear Abstract Differential Equations Relative To Sectorial Operators And Applications -- Bibliography -- List of Symbolsthis monograph is based on two courses in computational mathematics and operative research, which were given by the author in recent years to doctorate and PhD students. The text focuses on an aspect of the theory of inverse problems, which is usually referred to as identification of parameters (numbers, vectors, matrices, functions) appearing in differential - or integrodifferential - equations. The parameters of such equations are either quite unknown or partially unknown, however knowledge about these is usually essential as they describe the intrinsic properties of the material or substance under consideration. Inverse and ill-posed problems series.Inverse problems (Differential equations)Functional analysisDifferential Equations.Functional Analysis.Identification of Parameters.Integrodifferential Equations.Inverse Problems.Inverse problems (Differential equations)Functional analysis.515/.7SK 920rvkLorenzi A.1652510MiAaPQMiAaPQMiAaPQBOOK9910820358803321An introduction to identification problems via functional analysis4003206UNINA