Reconstruction formula for the potential function of Sturm–Liouville problem with eigenparameter boundary condition
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Publication:5852188
DOI10.1080/17415970903234976zbMath1187.34017OpenAlexW2012396781MaRDI QIDQ5852188
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Publication date: 26 January 2010
Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17415970903234976
Related Items (14)
Identification of the polynomial in nonseparated boundary conditions by one eigenvalue ⋮ An inverse problem for Sturm-Liouville operators with non-separated boundary conditions containing the spectral parameter ⋮ Boundary Inverse Problem for Star-Shaped Graph with Different Densities Strings-Edges ⋮ Reconstruction of the Sturm-Liouville operator with nonseparated boundary conditions and a spectral parameter in the boundary condition ⋮ Identification of elastic boundary conditions and crack depth ⋮ RESTORATION OF POLYNOMIAL COEFFICIENT IN THE DIFFERENTIAL EQUATION OF THE THIRD ORDER ⋮ The Uniqueness Theorem for the Solutions of Dual Equations of Sturm-Liouville Problems with Singular Points and Turning Points ⋮ Solvability theorems for an inverse nonself-adjoint Sturm-Liouville problem with nonseparated boundary conditions ⋮ The interior inverse boundary value problem for the impulsive Sturm-Liouville operator with the spectral boundary conditions ⋮ Uniqueness of reconstruction of an \(n\)th-order differential operator with nonseparated boundary conditions by several spectra ⋮ Inverse Sturm-Liouville problem with nonseparated boundary conditions on a geometric graph ⋮ Reconstruction of potential function and its derivatives for Sturm–Liouville problem with eigenvalues in boundary condition ⋮ Inverse and expansion problems with boundary conditions rationally dependent on the eigenparameter ⋮ Reconstruction for the spherically symmetric speed of sound from nodal data
Cites Work
- Inverse spectral theory using nodal points as data - A uniqueness result
- Remarks on a new inverse nodal problem
- On local Borg-Marchenko uniqueness results
- On inverse problems associated with second-order differential operators
- Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
- A solution of the inverse nodal problem
- Solution of inverse nodal problems
- $L^1$ convergence of the reconstruction formula for the potential function
- Inverse nodal problems for Sturm - Liouville equations with eigenparameter dependent boundary conditions
- The inverse sturm‐liouville problem
- On a uniform approximation of the density function of a string equation using eigenvalues and nodal points and some related inverse nodal problems
- Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum
- Inverse nodal problem for singular differential operators
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