Bitangential direct and inverse problems for systems of integral and differential equations / Damir Z. Arov, Harry Dym.

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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...

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Bibliographic Details
Uniform Title:Encyclopedia of mathematics and its applications ; v. 145.
Main Authors: Arov, Damir Z. (Author)
Dym, Harry, 1934- (Author)
Language:English
Published: Cambridge : Cambridge University Press, 2012.
Series:Encyclopedia of mathematics and its applications ; v. 145.
Subjects:
Inverse problems (Differential equations)
Integral equations.
Online Access:
Connect to online resource - MSU authorized users (Digital Object Identifier Permalink)
Physical Description:1 online resource (xiv, 472 pages) : digital, PDF file(s).
Variant Title:
Bitangential Direct & Inverse Problems for Systems of Integral & Differential Equations.
Format: Electronic eBook
Contents:
  • Introduction
  • Canonical systems and related differential equations
  • Matrix-valued functions in the Nevanlinna class
  • Interpolation problems, resolvent matrices and de Branges spaces
  • Chains that are matrizants and chains of associated pairs
  • The bitangential direct input scattering problems
  • Bitangential direct input impedance and spectral problems
  • Inverse monodromy problems
  • Bitangential Krein extension problems
  • Bitangential inverse input scattering problems
  • Bitangential inverse input impedance and spectral problems
  • Direct and inverse problems for Dirac-Krein systems.