The sharp conditions of the uniqueness for inverse nodal problems

DOI10.1016/j.jde.2018.09.039OpenAlexW2895428197WikidataQ129140495 ScholiaQ129140495MaRDI QIDQ1710746

Yongxia Guo, Guangsheng Wei

Publication date: 23 January 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.09.039

zbMATH Keywords

potentialinverse nodal problemSturm-Liouville problem

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Inverse problems involving ordinary differential equations (34A55)

Related Items (1)

Reconstruction of the Sturm-Liouville operator on a graph from subinterval nodes

Cites Work

• Solutions to open problems of Yang concerning inverse nodal problems
• Recovering the Sturm-Liouville operator with singular potential using nodal data
• Inverse nodal problem for differential pencils
• Inverse spectral theory using nodal points as data - A uniqueness result
• Remarks on a new inverse nodal problem
• Inverse problems: dense nodal subset on an interior subinterval
• An inverse nodal problem for integro-differential operators
• Reconstructing potentials from zeros of one eigenfunction
• A solution of the inverse nodal problem
• Solution of inverse nodal problems
• Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum
• Inverse Sturm–Liouville problems with the potential known on an interior subinterval
• A new inverse nodal problem

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