Eigenparameter dependent inverse boundary value problem for a class of Sturm-Liouville operator

DOI10.1186/s13661-014-0194-3zbMath1312.34065OpenAlexW2102718575WikidataQ59320650 ScholiaQ59320650MaRDI QIDQ481493

Yong-Cai Geng, Sumit K. Garg

Publication date: 12 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-014-0194-3

zbMATH Keywords

inverse problemSturm-Liouville operatorWeyl functionexpansion formula

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) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Inverse problems involving ordinary differential equations (34A55)

Related Items (7)

Inverse problems for Sturm-Liouville-type differential equation with a constant delay under Dirichlet/polynomial boundary conditions ⋮ The interior inverse boundary value problem for the impulsive Sturm-Liouville operator with the spectral boundary conditions ⋮ Characteristic properties of scattering data of a boundary value problem ⋮ Variational principles for spectral analysis of one Sturm-Liouville problem with transmission conditions ⋮ Schrödinger operators with distributional potentials and boundary conditions dependent on the eigenvalue parameter ⋮ Unnamed Item ⋮ Essentially isospectral transformations and their applications

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