Yurko V.A. Inverse Spectral Problems for Linear Differential Operators and Their Applications

London: CRC Press, 2000. — 168 p.Aims to construct the inverse problem theory for ordinary non-self-adjoint differential operators of arbitary order on the half-line and on a finite interval. The book consists of two parts: in the first part the author presents a general inverse problem of recovering differential equations with integrable coefficients when the behaviour of the spe0ecovery of Differential Operators from the Weyl Matrix
Formulation of the Inverse Problem: A Uniqueness Theorem
Solution of the Inverse Problem on the Half-line
Differential Operators with a Simple Spectrum
Solution of the Inverse Problem on a Finite Interval
Inverse Problems for the Self-Adjoint Case
Differential Operators with Singularities;
Recovery of Differential Operators from the Weyl Functions: Differential Operators with a "Separate Spectrum";
Stability of the Solution of the Inverse Problem
Method of Standard Models: Information Conditions
An Inverse Problem of Elasticity Theory
Differential Operator with Locally Integrable Coefficients
Discrete Inverse Problems: Applications to Differential Operators
Inverse Problems for Integro-differential Operators