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
Bibliography
Includes bibliographical references (pages 279-303)
