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024 7 $a10.1515/9783110940961
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035   $a(OCoLC)979851043
035   $a(DE-B1597)9783110940961
035   $a(Au-PeEL)EBL3045617
035   $a(CaPaEBR)ebr10834715
035   $a(OCoLC)922949039
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100   $a20020301d2002      uy|            0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt
182   $cc
183   $acr
200 10$aMethod of spectral mappings in the inverse problem theory /$fV. Yurko
205   $aReprint 2013
210  1$aUtrecht :$cVSP,$d2002.
215   $a1 online resource (316 pages)
225 0 $aInverse and Ill-Posed Problems Series ;$v31
225  0$aInverse and ill-posed problems series
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-11-063119-9 
311   $a90-6764-355-6 
320   $aIncludes bibliographical references.
327   $tFrontmatter -- $tPreface -- $tContents -- $tChapter 1. Inverse problems for Sturm - Liouville operators -- $tChapter 2. Inverse problems for higher-order differential operators -- $tChapter 3. Inverse problems for pencils of differential operators -- $tBibliography
330   $aInverse 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. 
606   $aInverse problems (Differential equations)
606   $aSpectral theory (Mathematics)
606   $aMappings (Mathematics)
610   $aDifferential Equations.
610   $aInverse Problems.
610   $aInverse Spectral Problems.
610   $aInverse Spectral Theory.
610   $aOperators.
610   $aSpectral Analysis.
610   $aSpectral Mappings.
610   $aSturm-Liouville.
615  0$aInverse problems (Differential equations)
615  0$aSpectral theory (Mathematics)
615  0$aMappings (Mathematics)
676   $a515/.35
700   $aYurko$b V. A$01594189
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910828257203321
996   $aMethod of spectral mappings in the inverse problem theory$94070204
997   $aUNINA