Inverse problems for impulsive Sturm–Liouville operator with spectral parameter linearly contained in boundary conditions

DOI10.1080/10652460902726443zbMath1181.34019OpenAlexW2150363416MaRDI QIDQ3391699

B. Keskin, Ahmet Sinan Ozkan, Rauf Kh. Amirov

Publication date: 12 August 2009

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460902726443

zbMATH Keywords

inverse problemspectrumWeyl functionimpulsive Sturm-Liouville operator

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Inverse problems involving ordinary differential equations (34A55)

Related Items (18)

On Dirac operator with boundary and transmission conditions depending Herglotz-Nevanlinna type function ⋮ Half-inverse Sturm-Liouville problem with boundary and discontinuity conditions dependent on the spectral parameter ⋮ Inverse problems for impulsive Dirac operators with spectral parameters contained in the boundary and multitransfer conditions ⋮ Uniqueness theorems for an impulsive Sturm-Liouville boundary value problem ⋮ Solving an inverse nodal problem with Herglotz–Nevanlinna functions in boundary conditions using the second‐kind Chebyshev wavelets method ⋮ On two-spectra inverse problems ⋮ Inverse spectral problems for Dirac operator with eigenvalue dependent boundary and jump conditions ⋮ Eigenparameter dependent inverse boundary value problem for a class of Sturm-Liouville operator ⋮ Inverse problem for a class of Sturm-Liouville operator with spectral parameter in boundary condition ⋮ Discontinuous Sturm-Liouville problems with eigenvalue dependent boundary condition ⋮ On discontinuous Dirac operator with eigenparameter dependent boundary and two transmission conditions ⋮ Inverse problems for Dirac equations polynomially depending on the spectral parameter ⋮ Uniqueness theorems for inverse problems of discontinuous Sturm-Liouville operator ⋮ Schrödinger operators with distributional potentials and boundary conditions dependent on the eigenvalue parameter ⋮ The representation of the solution of Sturm-Liouville equation with discontinuity conditions ⋮ Double discontinuous inverse problems for Sturm-Liouville operator with parameter-dependent conditions ⋮ Essentially isospectral transformations and their applications ⋮ Determination of Dirac operator with eigenvalue-dependent boundary and jump conditions

Cites Work

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• On Sturm-Liouville operators with discontinuity conditions inside an interval
• On the uniqueness of a spherically symmetric speed of sound from transmission eigenvalues
• A Sturm-Liouville inverse spectral problem with boundary conditions depending on the spectral parameter
• Regular eigenvalue problems with eigenvalue parameter in the boundary condition
• The inverse generalized Regge problem
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• Sturm–Liouville problems with eigenparameter dependent boundary conditions
• Inverse eigenvalue problems for a singular Sturm-Liouville operator on (0,1)
• Oscillation theory for indefinite Sturm-Liouville problems with eigenparameter-dependent boundary conditions
• Inverse eigenvalue problems for Sturm–Liouville equations with spectral parameter linearly contained in one of the boundary conditions

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