Method of spectral mappings in the inverse problem theory /

Bibliographic Details
Call Number:Libro Electrónico
Main Author: Yurko, V. A.
Format: Electronic eBook
Language:Inglés
Published: Utrecht : VSP, 2002.
Series:Inverse and ill-posed problems series.
Subjects:
Inverse problems (Differential equations)
Spectral theory (Mathematics)
Mappings (Mathematics)
Problèmes inverses (Équations différentielles)
Spectre (Mathématiques)
Applications (Mathématiques)
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Online Access:Texto completo
Table of Contents:
  • Chapter 1. Inverse Problems For Sturm -Liouville Operators
  • 1.1. Sturm-Liouville Operators On A Finite Interval
  • 1.2. Uniqueness Theorems
  • 1.3. Solution Of The Inverse Problem On A Finite Interval
  • 1.4. Sturm-Liouville Operators On The Half-Line
  • 1.5. Recovery Of Sturm-Liouville Operators From The Weyl Function
  • 1.6. Recovery Of Sturm-Liouville Operators From The Spectral Data
  • 1.7. Review Of The Inverse Problem Theory
  • Chapter 2. Inverse Problems For Higher-Order Differential Operators
  • 2.1. The Weyl Matrix. The Uniqueness Theorem
  • 2.2. Solution Of The Inverse Problem On The Half-Line 2.3. Solution Of The Inverse Problem On A Finite Interval
  • 2.4. The Selfadjoint Case
  • 2.5. Differential Operators With A Separate Spectrum
  • 2.6. Differential Operators With Singularities
  • Chapter 3. Inverse Problems For Pencils Of Differential Operators
  • 3.1. Second-Order Differential Equations With Nonlinear Dependence On The Spectral Parameter
  • 3.2. Regge-Type Boundary Value Problems
  • 3.3. An Inverse Problem For Differential Equations Of The Orr-Sommerfeld Type

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