On Boundary Conditions of an Inverse Sturm–Liouville Problem

DOI10.1137/0150103zbMath0779.34013OpenAlexW1986171249MaRDI QIDQ3970586

Rafael René del Río Castillo

Publication date: 25 June 1992

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0150103

zbMATH Keywords

eigenvalue problemspectrumboundary conditioninverse Sturm-Liouville problem

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Inverse problems involving ordinary differential equations (34A55)

Related Items (8)

Inverse spectral problem with partial information given on the potential and norming constants ⋮ Inverse problems for discontinuous Sturm-Liouville operators with mixed spectral data ⋮ Uniqueness theorems for Sturm-Liouville operators with boundary conditions polynomially dependent on the eigenparameter from spectral data ⋮ On the Hochstadt-Lieberman theorem for discontinuous boundary-valued problems ⋮ Inverse problems for Sturm-Liouville equations with boundary conditions linearly dependent on the spectral parameter from partial information ⋮ Unnamed Item ⋮ Inverse problems for Sturm–Liouville operators with interior discontinuities and boundary conditions dependent on the spectral parameter ⋮ Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum

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