Inverse problem for Sturm-Liouville operators with Coulomb potential which have discontinuity conditions inside an interval

DOI10.1007/s11040-009-9066-yzbMath1203.34013OpenAlexW2015688812MaRDI QIDQ967252

Nilifer Topsakal, Rauf Kh. Amirov

Publication date: 28 April 2010

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-009-9066-y

zbMATH Keywords

Coulomb potentialWeyl functionsSingular Sturm Liouville problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Inverse problems involving ordinary differential equations (34A55)

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Cites Work

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• Impedance profile inversion via the first transport equation
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• On the distribution of the eigenvalues of a class of indefinite eigenvalue problems
• Asymptotic behavior of the eigenvalues of a Sturm-Liouville system with discontinuous coefficients
• A Borg-Levinson theorem for Bessel operators
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• Discontinuous inverse eigenvalue problems
• Sturm–Liouville operators with Coulomb potential which have discontinuity conditions inside an interval
• Analytical Methods for Recovering Coefficients in Differential Equations from Spectral Data
• ON THE DETERMINATION OF THE STURM-LIOUVILLE OPERATOR FROM ONE AND TWO SPECTRA
• On higher-order differential operators with a singular point
• An Inverse Spectral Problem for Sturm-Liouville Operators with Discontinuous Coefficients
• An Introduction to Inverse Scattering and Inverse Spectral Problems
• Integral transforms connected with differential operators having singularities inside the interval
• The Cherry Transform and its Relationship with a Singular Sturm-liouville Problem
• Inverse problems for nonabsorbing media with discontinuous material properties
• Inverse wave scattering with discontinuous wave speed
• Removable singularities of plurisubharmonic functions of class $ \operatorname{Lip}_\alpha$
• Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum
• A method of ascent for solving boundary value problems
• Paley-Wiener-type theorem for a class of integral transforms arising from a singular Dirac system
• Riesz bases of solutions of Sturm-Liouville equations