Inverse scattering problems for Sturm-Liouville operators with spectral parameter dependent on boundary conditions

DOI10.1134/S0001434618010078zbMath1398.34128WikidataQ130125595 ScholiaQ130125595MaRDI QIDQ1646337

Ying Yang, Guangsheng Wei

Publication date: 25 June 2018

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

inverse problemSturm-Liouville operatorspectral parameterscattering data

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Inverse scattering problems in quantum theory (81U40) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items

Solving the inverse Sturm-Liouville problem with singular potential and with polynomials in the boundary conditions ⋮ Solving generalized inverse eigenvalue problems via L-BFGS-B method

Cites Work

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• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Numerical methods for a singular eigenvalue problem with eigenparameter in the boundary conditions
• Reconstruction of pencils of differential operators on the half-line
• Inverse spectral problem for Sturm-Liouville operator with discontinuous coefficient and cubic polynomials of spectral parameter in boundary condition
• Uniqueness of the solution of the inverse problem of scattering theory for the Sturm-Liouville operator with a spectral parameter in the boundary condition.
• On the missing bound state data of inverse spectral-scattering problems on the half-line
• An inverse problem for differential operator pencils
• Construction of the half-line potential from the Jost function
• Inverse spectral-scattering problem with two sets of discrete spectra for the radial Schrödinger equation
• ON THE INVERSE PROBLEM FOR STURM-LIOUVILLE OPERATOR WITH A NONLINEAR SPECTRAL PARAMETER IN THE BOUNDARY CONDITION
• Inverse scattering on the line