Method of Spectral Mappings in the Inverse Problem Theory - Couverture rigide

Yurko

 
9789067643559: Method of Spectral Mappings in the Inverse Problem Theory
Couverture rigide
ISBN 10 : 9067643556 ISBN 13 : 9789067643559
Editeur : VSP International Science Publishers, 2002

Synopsis

01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information. 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 book 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 selfadjoint second-order differential operator. The last chapter contains a study on inverse spectral problems for differential equations with nonlinear dependence on the spectral parameter. This monograph will be of value and interest to specialists in the field of inverse problems for differential equations.

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À propos de l?auteur

Vyatcheslav A. Yurko, N. G. Chernyshevsky Saratov State University, Russia.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
VSP International Science Publishers
Date d'édition
2002
Langue
anglais
ISBN 10 
9067643556
ISBN 13 
9789067643559
Reliure
Relié
Nombre de pages
304
Coordonnées du fabricant
non disponible
Personne responsable
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