On an inverse scattering problem for a discontinuous Sturm-Liouville equation with a spectral parameter in the boundary condition

DOI10.1155/2010/171967zbMath1214.34084OpenAlexW2102306110WikidataQ59253807 ScholiaQ59253807MaRDI QIDQ1957491

Khanlar R. Mamedov

Publication date: 27 September 2010

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227359

zbMATH Keywords

spectral dataJost functioninverse scattering problemdiscontinuous Sturm-Liouville equationspaectral parameter

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (9)

On strong singular fractional version of the Sturm-Liouville equation ⋮ Scattering properties of Sturm-Liouville equations with sign-alternating weight and transmission condition at turning point ⋮ Conformable fractional Sturm–Liouville problems on time scales ⋮ Impulsive Dirac system on time scales ⋮ On an inverse scattering problem for a class of Dirac operators with spectral parameter in the boundary condition ⋮ Characteristic properties of scattering data of a boundary value problem ⋮ Unnamed Item ⋮ Inverse spectral problem for Sturm-Liouville operator with discontinuous coefficient and cubic polynomials of spectral parameter in boundary condition ⋮ The inverse scattering problem of some Schrödinger type equation with turning point

Cites Work

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• Numerical technique for the inverse resonance problem
• Method of spectral mappings in the inverse problem theory
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Inverse problem for a wave equation with a piecewise-constant coefficient
• The inverse scattering problem of quantum theory
• Reconstruction of pencils of differential operators on the half-line
• Uniqueness of the solution of the inverse problem of scattering theory for the Sturm-Liouville operator with a spectral parameter in the boundary condition.
• An inverse problem for differential operator pencils
• Construction of the half-line potential from the Jost function
• A uniqueness theorem for the boundary value problems with non-linear dependence on the spectral parameter in the boundary conditions
• 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
• Singular eigenvalue problems with eigenvalue parameter contained in the boundary conditions
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• On an inverse problem for a second-order differential equation
• An Integral Transform Associated with Boundary Conditions Containing an Eigenvalue Parameter
• Inverse eigenvalue problems for Sturm–Liouville equations with spectral parameter linearly contained in one of the boundary conditions

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