Eigenparameter Dependent Inverse Sturm-Liouville Problems

DOI10.1081/NFA-120020248zbMath1031.34008MaRDI QIDQ4413516

William Rundell, C. Maeve McCarthy

Publication date: 20 July 2003

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

zbMATH Keywords

inverse Sturm-Liouville problems

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55)

Related Items (11)

Inverse nodal problems for the Sturm-Liouville equation with polynomially dependent on the eigenparameter ⋮ On Dirac operator with boundary and transmission conditions depending Herglotz-Nevanlinna type function ⋮ Numerical technique for the inverse resonance problem ⋮ Inverse nodal problem for Dirac system with spectral parameter in boundary conditions ⋮ Inverse nodal problems for the Sturm-Liouville operator with nonlocal integral conditions ⋮ Inverse problems for discontinuous Dirac operator with eigenparameter dependent boundary and transmission conditions ⋮ Uniqueness theorems for the Dirac operator with eigenparameter boundary conditions and transmission conditions ⋮ Characteristic properties of scattering data of a boundary value problem ⋮ Inverse problem for a class of Sturm-Liouville operator with spectral parameter in boundary condition ⋮ Inverse problems for Dirac equations polynomially depending on the spectral parameter ⋮ Determination of Dirac operator with eigenvalue-dependent boundary and jump conditions

Cites Work

• Regular eigenvalue problems with eigenvalue parameter in the boundary condition
• An iterative method for the inverse Dirichlet problem
• The Recovery of Potentials from Finite Spectral Data
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• Sturm–Liouville problems with eigenparameter dependent boundary conditions
• Mathematical software for Sturm-Liouville problems
• A uniqueness theorem for inverse eigenparameter dependent Sturm - Liouville problems
• Inverse Spectral Problems for Sturm-Liouville Equations with Eigenparameter Dependent Boundary Conditions
• Inverse nodal problems for Sturm - Liouville equations with eigenparameter dependent boundary conditions
• An Asymptotic Numerical Method for a Class of Singular Sturm–Liouville Problems

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