LEADER 03905nam 2200661 450 001 9910463727703321 005 20200909225244.0 010 $a3-11-094092-2 024 7 $a10.1515/9783110940923 035 $a(CKB)3390000000062277 035 $a(SSID)ssj0001406647 035 $a(PQKBManifestationID)11888520 035 $a(PQKBTitleCode)TC0001406647 035 $a(PQKBWorkID)11402061 035 $a(PQKB)11586155 035 $a(MiAaPQ)EBC3049419 035 $a(DE-B1597)57191 035 $a(OCoLC)1013937120 035 $a(OCoLC)900796446 035 $a(DE-B1597)9783110940923 035 $a(Au-PeEL)EBL3049419 035 $a(CaPaEBR)ebr11008766 035 $a(CaONFJC)MIL807287 035 $a(OCoLC)922949853 035 $a(EXLCZ)993390000000062277 100 $a20020124d2001 uy| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 13$aAn introduction to identification problems via functional analysis /$fA. Lorenzi 205 $aReprint 2014 210 1$aUtrecht ;$aBoston :$cVSP,$d2001. 215 $a1 online resource (254 pages) $cillustrations 225 1 $aInverse and ill-posed problems series,$x1381-4524 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-11-036411-5 311 $a90-6764-349-1 320 $aIncludes bibliographical references. 327 $tFrontmatter -- $tPreface -- $tContents -- $tIntroduction -- $tChapter 1. Parameter Identification In Linear Ordinary Differential Equations -- $tChapter 2. Identification Problems In Hilbert Spaces -- $tChapter 3. Proper Riemann Integrals For Banach-Valued Functions. Curvilinear Integrals And Banach-Valued Holomorphic Functions -- $tChapter 4. Riemann-Stieltj Es Integrals Of Banach-Valued Functions -- $tChapter 5. Improper Riemann Integrals For Banach Space-Valued Functions -- $tChapter 6. Banach Algebras And Spectral Analysis For Linear Bounded Operators -- $tChapter 7. Identifying Parameters In First-Order Partial Differential Equations -- $tChapter 8. Identification Problems Relative To Linear Bounded Operators I -- $tChapter 9. Identification Problems Relative To Linear Bounded Operators Ii -- $tChapter 10. Analysis Of The Continuous Dependence On The Data -- $tChapter 11. Linear Closed Operators And Analytic Semigroups Of Linear Bounded Operators -- $tChapter 12. Cauchy Problems For Linear Abstract Differential Equations Relative To Sectorial Operators And Applications -- $tChapter 13. Identification Problems For Linear Abstract Differential Equations Relative To Sectorial Operators And Applications -- $tBibliography -- $tList of Symbols 330 $athis monograph is based on two courses in computational mathematics and operative research, which were given by the author in recent years to doctorate and PhD students. The text focuses on an aspect of the theory of inverse problems, which is usually referred to as identification of parameters (numbers, vectors, matrices, functions) appearing in differential - or integrodifferential - equations. The parameters of such equations are either quite unknown or partially unknown, however knowledge about these is usually essential as they describe the intrinsic properties of the material or substance under consideration. 410 0$aInverse and ill-posed problems series. 606 $aInverse problems (Differential equations) 606 $aFunctional analysis 608 $aElectronic books. 615 0$aInverse problems (Differential equations) 615 0$aFunctional analysis. 676 $a515/.7 686 $aSK 920$2rvk 700 $aLorenzi$b A.$01045122 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910463727703321 996 $aAn introduction to identification problems via functional analysis$92485942 997 $aUNINA