Method of spectral mappings in the inverse problem theory / V. Yurko.

Format:

Book

Author/Creator:

Yurko, V. A.

Series:

Inverse and ill-posed problems series

Inverse and Ill-Posed Problems Series ; 31

Language:

English

Subjects (All):

Inverse problems (Differential equations).

Spectral theory (Mathematics).

Mappings (Mathematics).

Physical Description:

1 online resource (316 pages).

Edition:

Reprint 2013

Place of Publication:

Utrecht : VSP, 2002.

Language Note:

English

Summary:

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.

Contents:

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

Bibliography

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references.

Description based on print version record.

ISBN:

9783110631210

3110631210

9783110940961

3110940965

OCLC:

979851043