Yurko Method of Spectral Mappings in the Inverse Problem Theory

Nachdruck 2013
ISBN: 978-3-11-094096-1
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 31, 306 Seiten, Format (B × H): 155 mm x 230 mm

Reihe: Inverse and Ill-Posed Problems Series

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.

Zielgruppe

Sutdents, Researchers, and Lecturers in Mathematics and Mathemati

Autoren/Hrsg.

Yurko, Vacheslav A.

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Über Autor(innen)

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