On the expansion formula for a class of Sturm-Liouville operators

DOI10.1134/S1995080221030148zbMath1471.34163OpenAlexW3157208967MaRDI QIDQ2026676

Yanyan Li

Publication date: 20 May 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080221030148

zbMATH Keywords

eigenvalueresolvent operatoreigenfunctionexpansion formulascattering data

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Cites Work

• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• On the uniqueness of a spherically symmetric speed of sound from transmission eigenvalues
• Reconstruction of pencils of differential operators on the half-line
• Uniqueness of the solution of the inverse problem of scattering theory for the Sturm-Liouville operator with a spectral parameter in the boundary condition.
• On a boundary problem generated by a self-adjoint Sturm-Liouville differential operator on the entire real axis
• Inverse scattering problem for Sturm-Liouville operator with nonlinear dependence on the spectral parameter in the boundary condition
• Analytic properties of the scattering matrix
• Construction of potentials from resonance parameters
• Singular eigenvalue problems with eigenvalue parameter contained in the boundary conditions
• An Integral Transform Associated with Boundary Conditions Containing an Eigenvalue Parameter
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