On the Hochstadt-Lieberman theorem for discontinuous boundary-valued problems

DOI10.1007/s10114-014-3221-5zbMath1301.34019OpenAlexW2093979609MaRDI QIDQ2453852

Hikmet Koyunbakan, Yu Ping Wang

Publication date: 11 June 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-014-3221-5

zbMATH Keywords

potentialSturm-Liouville operatorhalf inverse problemHochstadt-Lieberman theoreminterior discontinuityboundary condition dependent on the spectral parameter

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55)

Related Items (6)

The uniform convergence of Fourier series expansions of a Sturm-Liouville problem with boundary condition which contains the eigenparameter ⋮ A new approach to asymptotic formulas for eigenfunctions of discontinuous non-selfadjoint Sturm-Liouville operators ⋮ On Hochstadt–Lieberman theorem for impulsive Sturm–Liouville problems withboundary conditions polynomially dependent on the spectral parameter ⋮ On the solution of an inverse Sturm–Liouville problem with a delay andeigenparameter-dependent boundary conditions ⋮ Mixed data in inverse spectral problems for the Schrödinger operators ⋮ Inverse problems for the boundary value problem with the interior nodal subsets

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