Method of Spectral Mappings in the Inverse Problem Theory
- ISBN-10
- 3110940965
- ISBN-13
- 9783110940961
- Category
- Mathematics
- Pages
- 306
- Language
- English
- Published
- 2013-10-10
- Publisher
- Walter de Gruyter
- Author
- Vacheslav A. Yurko
Description
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 monographis devoted to inverse problems of spectral analysis for ordinary differential equations. Its aim ist topresent 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 Chapter1the method of spectral mappings ispresented in the simplest version for the Sturm-Liouville operator. In Chapter 2the inverse problem of recovering higher-order differential operators of the form, on the half-line and on a finite interval, is considered. In Chapter 3inverse spectral problems for differential operators with nonlinear dependence on the spectral parameter are studied.
Get the book
Similar books
-
Method of Spectral Mappings in the Inverse Problem Theory
By V. A. YurkoThe book consists of three chapters: In Chapter 1 the method of spectral mappings is presented in the simplest version for the Sturm-Liouville operator.
-
Investigation Methods for Inverse Problems
By Vladimir G. RomanovOperator Theory. Nonclassical Problems S.G. Pyatkov Inverse Problems for Partial Differential Equations Yu. Ya. Beloy Method of Spectral Mappings in the Inverse Problem Theory WYurko Theory of Linear Optimization I.].
-
Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems
By Sergey I. Kabanikhin, Abdigany D. Satybaev, Maxim A. ShishleninA. Pentin Elements of the Theory of Inverse Problems A.M. Denisoy Volterra Equations and Inverse Problems A.L. Bughgeim Small Parameter Method in Multidimensional Inverse Problems A.S. Barashkov ... Below Method of Spectral Mappings in ...
-
Dynamical Inverse Problems of Distributed Systems
By Vyacheslav I. MaksimovBeloy Method of Spectral Mappings in the Inverse Problem Theory VYurko Theory of Linear Optimization |.l. Eremin Integral Geometry and Inverse Problems for Kinetic Equations A. Kh. Amirov Computer Modelling in Tomography and |||-Posed ...
-
Carleman Estimates for Coefficient Inverse Problems and Numerical Applications
By Michael V. Klibanov, Alexander A. TimonovA. Pentin Elements of the Theory of Inverse Problems A.M. Denisov Volterra Equations and Inverse Problems A.L. ... Below Method of Spectral Mappings in the Inverse Problem Theory W. Yurko Theory of Linear Optimization l.l. Eremin ...
-
Inverse Problems of Mathematical Physics
By Mikhail M. Lavrent'ev, Viatcheslav I. Priimenko, Alexander V. AvdeevYa Below Method of Spectral Mappings in the Inverse Problem Theory WYurko Theory of Linear Optimization ll. Eremin Integral Geometry and Inverse Problems for Kinetic Equations A.Kh. Amirov Computer Modelling in Tomography and |ll-Posed ...
-
Operator Theory and Ill-Posed Problems
By Mikhail M. Lavrent'ev, Lev Ja. Savel'evP. Petrov and V.S. Sizikov Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems S.l. Kobanikhin, ... Belov Method of Spectral Mappings in the lnverse Problem Theory V. Yurko Theory of Linear Optimization I.I. Eremin ...
-
Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations
By Alexander G. MegrabovNonclassical Problems S.G. Pyatkov Inverse Problems for Partial Differential Equations Yu.Ya. Belov Method of Spectral Mappings in the Inverse Problem Theory V.Yurko Theory of Linear Optimization I.I. Eremin Integral Geometry and ...
-
Theory of Linear Ill-Posed Problems and its Applications
By Valentin K. Ivanov, Vladimir V. Vasin, Vitalii P. TananaBelov Method of Spectral Mappings in the Inverse Problem Theory VYurko Theory of Linear Optimization I.l. Eremin Integral Geometry and Inverse Problems for Kinetic Equations A.Kh.Amirov Computer Modelling in Tomography and III-Posed ...
-
Counterexamples in Optimal Control Theory
By Semen Ya. SerovaiskiiA. Pentin Elements of the Theory of Inverse Problems A.M. Denisov Volterra Equations and Inverse Problems A.L. Bughgeim Small Parameter Method in Multidimensional ... Belov Method of Spectral Mappings in the Inverse Problem Theory I/.