Inverse eigenvalue problems for rank one perturbations of the Sturm-Liouville operator

DOI10.1515/math-2022-0544zbMath1519.34097OpenAlexW4320147816MaRDI QIDQ6049683

Xuewen Wu

Publication date: 15 September 2023

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2022-0544

zbMATH Keywords

inverse problemSturm-Liouville operatorrank one perturbation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Inverse problems involving ordinary differential equations (34A55)

Cites Work

• Schrödinger operators with nonlocal point interactions
• Perturbed discrete Sturm-Liouville problems and associated sampling theorems
• Rank one perturbations at infinite coupling
• An inverse eigenvalue problem for a nonlocal Sturm-Liouville operator
• Inverse eigenvalue problems for singular rank one perturbations of a Sturm-Liouville operator
• Inverse nonlocal Sturm–Liouville problem
• Inverse spectral nonlocal problem for the first order ordinary differential equation
• Inverse spectral problems for non-local Sturm–Liouville operators
• A nonlocal Sturm–Liouville eigenvalue problem
• Direct and inverse problems for an operator with nonlocal potential
• Direct and Inverse Sturm-Liouville Problems
• Resonances under rank-one perturbations
• Inverse spectral problem for the operators with non‐local potential
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