Inverse problems for the Sturm–Liouville operator with discontinuity

DOI10.1080/17415977.2013.764521zbMath1318.34029OpenAlexW2028346010MaRDI QIDQ5496497

Chuan-Fu Yang

Publication date: 2 February 2015

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2013.764521

zbMATH Keywords

differential operatorsinverse spectral problemdiscontinuous condition

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55)

Related Items (10)

Reconstruction of the Sturm-Liouville operator with discontinuities from a particular set of eigenvalues ⋮ Half‐inverse problems for the quadratic pencil of the <scp>Sturm–Liouville</scp> equations with impulse ⋮ Inverse spectral problems for the Sturm-Liouville operator with discontinuity ⋮ Inverse spectral problems for non-self-adjoint Sturm-Liouville operators with discontinuous boundary conditions ⋮ Uniqueness theorems for inverse problems of discontinuous Sturm-Liouville operator ⋮ Local solvability and stability of inverse problems for Sturm-Liouville operators with a discontinuity ⋮ Inverse spectral problems for Bessel operators with interior transmission conditions ⋮ Inverse Sturm-Liouville problem with analytical functions in the boundary condition ⋮ An inverse problem for non-selfadjoint Sturm–Liouville operator with discontinuity conditions inside a finite interval ⋮ Determination of differential pencils with impulse from interior spectral data

Cites Work

• On Sturm-Liouville operators with discontinuity conditions inside an interval
• Inverse nodal and inverse spectral problems for discontinuous boundary value problems
• An interior inverse problem for the Sturm-Liouville operator with discontinuous conditions
• Asymptotic behavior of the eigenvalues of a Sturm-Liouville system with discontinuous coefficients
• An interior inverse problem for discontinuous boundary-value problems
• Discontinuous inverse eigenvalue problems
• Integral transforms connected with discontinuous boundary value problems
• Inverse spectral problems for singular non-selfadjoint differential operators with discontinuities in an interior point
• Inverse problems for nonabsorbing media with discontinuous material properties
• Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum

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