A Sturm-Liouville inverse spectral problem with boundary conditions depending on the spectral parameter

DOI10.1023/A:1021770012098zbMath1034.34013OpenAlexW2144106574MaRDI QIDQ1812458

Cornelis V. M. van der Mee, Vyacheslav N. Pivovarchik

Publication date: 2002

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021770012098

zbMATH Keywords

asymptoticseigenvaluesSturm-Liouville problemdamped stringspectral parameter-dependent boundary conditions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55)

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Identification of the polynomial in nonseparated boundary conditions by one eigenvalue ⋮ Numerical technique for the inverse resonance problem ⋮ On impulsive Sturm-Liouville operators with singularity and spectral parameter in boundary conditions ⋮ Inverse nodal problem for Dirac system with spectral parameter in boundary conditions ⋮ Reconstruction of the Sturm-Liouville operator with nonseparated boundary conditions and a spectral parameter in the boundary condition ⋮ How to change a boundary condition in a problem to make the problem have a prescribed spectrum ⋮ Inverse problems for Dirac equations polynomially depending on the spectral parameter ⋮ Inverse problems for impulsive Sturm–Liouville operator with spectral parameter linearly contained in boundary conditions ⋮ Determination of Dirac operator with eigenvalue-dependent boundary and jump conditions

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