This largely self-contained treatment surveys, unites and extends some 20 years of research on direct and inverse problems for canonical systems of integral and differential equations and related systems. Five basic inverse problems are studied in which the main part of the given data is either a mo
Bitangential direct and inverse problems for systems of integral and differential equations
โ Scribed by Dym, Harry;Arov, Damir Z
- Publisher
- Cambridge University Press
- Year
- 2012
- Tongue
- English
- Leaves
- 488
- Series
- Encyclopedia of mathematics and its applications 145
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
- Introduction
2. Canonical systems and related differential equations
3. Matrix valued functions in the Nevanlinna class
4. Interpolation problems, resolvent matrices and de Branges spaces
5. Chains that are matrizants and chains of associated pairs
6. The bitangential direct input scattering problems
7. Bitangential direct input impedance and spectral problems
8. Inverse monodromy problems
9. Bitangential Krein extension problems
10. Bitangential inverse input scattering problems
11. Bitangential inverse input impedance and spectral problems
12. Dirac-Krein systems
Bibliography
Index.
โฆ Subjects
Integral equations;Inverse problems (Differential equations)
๐ SIMILAR VOLUMES
<p>There are currently many practical situations in which one wishes to determine the coefficients in an ordinary or partial differential equation from known functionals of its solution. These are often called "inverse problems of mathematical physics" and may be contrasted with problems in which an
There are currently many practical situations in which one wishes to determine the coefficients in an ordinary or partial differential equation from known functionals of its solution. These are often called "inverse problems of mathematical physics" and may be contrasted with problems in which an eq