Recovery of the \(m\)-function from spectral data for generalized Sturm-Liouville problems

DOI10.1016/j.cam.2004.01.005zbMath1069.34039OpenAlexW2077192568MaRDI QIDQ596231

Paul A. Binding, Patrick J. Browne, Bruce Alastair Watson

Publication date: 10 August 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.01.005

zbMATH Keywords

Sturm-Liouville operatorsWeyl-function

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05)

Related Items (6)

Uniqueness of solution to inverse Dirac spectral problems associated with incomplete spectral data ⋮ Modified Numerov's method for inverse Sturm-Liouville problems ⋮ \(M\)-matrix asymptotics for Sturm-Liouville problems on graphs ⋮ On the uniqueness of inverse spectral problems associated with incomplete spectral data ⋮ Inverse spectral problem for non-selfadjoint Dirac operator with boundary and jump conditions dependent on the spectral parameter ⋮ On the approximation of nonlinear singular self-adjoint second order boundary value problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundary problems for ordinary differential equations with parameter in the boundary conditions
• Operator treatment of boundary problems with spectral parameters entering via polynomials in the boundary conditions
• Lectures on nonlinear hyperbolic differential equations
• Equivalence of inverse Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter.
• Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter. II
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• Eigenfunction expansions for a class of J-selfadjoint ordinary differential operators with boundary conditions containing the eigenvalue parameter
• Eigenfunction Expansions for a Singular Eigenvalue Problem with Eigenparameter in the Boundary Condition
• Sturm–Liouville problems with eigenparameter dependent boundary conditions
• Some boundary value problems with a spectral parameter in the boundary conditions
• STURM–LIOUVILLE PROBLEMS WITH BOUNDARY CONDITIONS RATIONALLY DEPENDENT ON THE EIGENPARAMETER. I
• Application of two parameter eigencurves to Sturm–Liouville problems with eigenparameter-dependent boundary conditions
• Some questions in the theory of one-dimensional linear differential operators of the second order. I
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION

This page was built for publication: Recovery of the \(m\)-function from spectral data for generalized Sturm-Liouville problems