Inverse 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

Method of Spectral Mappings in the Inverse Problem Theory PDF

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