Item description for Method of Spectral Mappings in the Inverse Problem Theory (Inverse and Ill-Posed Problems Series, 31) by V. A. Yurko...
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 deals with inverse problems of spectral analysis for ordinary differential equations and aims 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 work consists of three chapters and opens with the method of spectral mappings, presented in the simplest version for the Sturm-Liouville operator. The second chapter deals with the inverse problem of recovering higher-order differential operators of the form, on the half-line and on a finite interval. In this chapter the author introduces the so-called Weyl matrix, which is a generalization of the classical Weyl function for the self-adjoint second-order differential operator. The last chapter contains a study on inverse spectral problems for differential operators with non-linear dependence on the spectral parameter.
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Studio: Walter de Gruyter
Est. Packaging Dimensions: Length: 9.61" Width: 6.46" Height: 0.79" Weight: 1.4 lbs.
Publisher Brill Academic Publishers
ISBN 9067643556 ISBN13 9789067643559
Availability 125 units. Availability accurate as of May 23, 2017 05:00.
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