03483nam 2200745 450 991082825720332120230607225454.03-11-063121-03-11-094096-510.1515/9783110940961(CKB)2550000001200107(SSID)ssj0001083362(PQKBManifestationID)12450883(PQKBTitleCode)TC0001083362(PQKBWorkID)11016192(PQKB)10126078(MiAaPQ)EBC3045617(DE-B1597)57198(OCoLC)979851043(DE-B1597)9783110940961(Au-PeEL)EBL3045617(CaPaEBR)ebr10834715(OCoLC)922949039(EXLCZ)99255000000120010720020301d2002 uy| 0engurcnu||||||||txtccrMethod of spectral mappings in the inverse problem theory /V. YurkoReprint 2013Utrecht :VSP,2002.1 online resource (316 pages)Inverse and Ill-Posed Problems Series ;31Inverse and ill-posed problems seriesBibliographic Level Mode of Issuance: Monograph3-11-063119-9 90-6764-355-6 Includes bibliographical references.Frontmatter -- Preface -- Contents -- Chapter 1. Inverse problems for Sturm - Liouville operators -- Chapter 2. Inverse problems for higher-order differential operators -- Chapter 3. Inverse problems for pencils of differential operators -- BibliographyInverse problems of spectral analysis consist in recovering operators from their spectral characteristics. Such problems often appear in mathematics, mechanics, physics, electronics, geophysics, meteorology and other branches of natural science. This monograph is devoted to inverse problems of spectral analysis for ordinary differential equations. Its aim ist to present the main results on inverse spectral problems using the so-called method of spectral mappings, which is one of the main tools in inverse spectral theory. The book consists of three chapters: In Chapter 1 the method of spectral mappings is presented in the simplest version for the Sturm-Liouville operator. In Chapter 2 the inverse problem of recovering higher-order differential operators of the form, on the half-line and on a finite interval, is considered. In Chapter 3 inverse spectral problems for differential operators with nonlinear dependence on the spectral parameter are studied. Inverse problems (Differential equations)Spectral theory (Mathematics)Mappings (Mathematics)Differential Equations.Inverse Problems.Inverse Spectral Problems.Inverse Spectral Theory.Operators.Spectral Analysis.Spectral Mappings.Sturm-Liouville.Inverse problems (Differential equations)Spectral theory (Mathematics)Mappings (Mathematics)515/.35Yurko V. A1594189MiAaPQMiAaPQMiAaPQBOOK9910828257203321Method of spectral mappings in the inverse problem theory4070204UNINA