Solvability of a class of integro-differential equations and connections to one-dimensional inverse problems

DOI10.1016/j.jmaa.2005.08.016zbMath1097.45017OpenAlexW2054176808MaRDI QIDQ2497359

Yilian Zhang

Publication date: 4 August 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.08.016

zbMATH Keywords

inverse problemintegro-differential equation\(A\)-equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Inverse problems for integral equations (45Q05)

Related Items (1)

The inverse approach to Dirac-type systems based on the \(A\)-function concept

Cites Work

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• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Inverse boundary value problems and a theorem of Gel'fand and Levitan
• Inverse spectral theory for one-dimensional Schrödinger operators: The \(A\) function
• A new approach to inverse spectral theory. III: Short-range potentials
• A new approach to inverse spectral theory. II: General real potentials and the connection to the spectral measure
• Schrödinger operators and de Branges spaces.
• A new approach to inverse spectral theory. I: Fundamental formalism
• On the determination of a differential equation from its spectral function

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