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Tables of Contents for Inverse Spectral Problems for Linear Differential Operators and Their Applications
Chapter/Section Title
Page #
Page Count
Preface
vii
Introduction
ix
Part I. Recovery of differential operators from the Weyl matrix
Formulation of the inverse problem. A uniqueness theorem
1
12
Solution of the inverse problem on the half-line
13
23
Differential operators with a simple spectrum
36
15
Solution of the inverse problem on a finite interval
51
25
Inverse problems for the self-adjoint case
76
11
Differential operators with singularities
87
12
Part II. Recovery of differential operators from the Weyl functions
Differential operators with a ``separate'' spectrum
99
8
Stability of the solution of the inverse problem
107
30
Method of standard models. Information condition
137
17
An inverse problem of elasticity theory
154
5
Differential operators with locally integrable coefficients
159
18
Discrete inverse problems. Applications to differential operators
177
25
Inverse problems for integro-differential operators
202
17
Appendix I. Solution of the Boussinesq equation on the half-line by the inverse problem method
219
14
Appendix II. Integrable dynamical systems connected with higher-order difference operators
233
10
References
243
8
Subject index
251