The Levinson-Type Formula for a class of Sturm-Liouville Equation

DOI10.22190/FUMI2004219GzbMath1488.34483OpenAlexW3128089904MaRDI QIDQ5010389

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Publication date: 25 August 2021

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22190/fumi2004219g

zbMATH Keywords

scattering functionscattering dataGelfand-Levitan-Marchenko equationLevinson-type formula

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

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• The inverse scattering problem of quantum theory
• ON THE INVERSE PROBLEM FOR STURM-LIOUVILLE OPERATOR WITH A NONLINEAR SPECTRAL PARAMETER IN THE BOUNDARY CONDITION
• Singular eigenvalue problems with eigenvalue parameter contained in the boundary conditions
• THE WORK OF A. N. TIKHONOV ON INVERSE PROBLEMS FOR THE STURM-LIOUVILLE EQUATION
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• An Integral Transform Associated with Boundary Conditions Containing an Eigenvalue Parameter

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