Bitangential Direct and Inverse Problems for Systems of Integral and - Differential Equation

Informationen zum Autor Damir Z. Arov is Professor in the Division of Applied Mathematics and Informatics at the South-Ukrainian Pedagogical University, Odessa. Harry Dym is Professor Emeritus in the Department of Mathematics at the Weizmann Institute of Science, Rehovot, Israel. Klappentext An essentially self-contained treatment ideal for mathematicians, physicists or engineers whose research is connected with inverse problems. Zusammenfassung 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 using a number of examples to illustrate the theory. Ideal for mathematicians! physicists or engineers. Inhaltsverzeichnis 1. 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.

Product details

• Authors: Damir Z. Arov, Damir Z. Dym Arov, Arov Damir Z., Harry Dym, Dym Harry
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 13.09.2012
• EAN: 9781107018877
• ISBN: 978-1-107-01887-7
• No. of pages: 488
• Series: Encyclopedia of Mathematics and Its Applications; Encyclopedia of Mathematics and Its Applications
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Differential Equations / General, Differential calculus & equations, Differential calculus and equations