Inverse indefinite Sturm-Liouville problems with three spectra

DOI10.1016/j.jmaa.2011.02.023zbMath1223.34015OpenAlexW2020500093MaRDI QIDQ542821

Shouzhong Fu, Zong Ben Xu, Guangsheng Wei

Publication date: 20 June 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.02.023

zbMATH Keywords

inverse spectral problemindefinite weightindefinite Sturm-Liouville problemleft-definite eigenvalue problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (6)

An inverse three spectra problem for Sturm-Liouville operators ⋮ A uniqueness theorem for indefinite Sturm-Liouville operators ⋮ An inverse three spectra problem for parameter-dependent and jumps conformable Sturm-Liouville operators ⋮ Inverse problems for differential operators with indefinite discontinuous weights ⋮ Higher order Nevanlinna functions and the inverse three spectra problem ⋮ On solvability of three spectra problem

Cites Work

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• An inverse Sturm-Liouville problem by three spectra
• Dependence of the \(n\)th Sturm-Liouville eigenvalue on the problem
• Inverse spectral problems for left-definite Sturm-Liouville equations with indefinite weight
• Dependence of eigenvalues of Sturm-Liouville problems on the boundary
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• Indefinite Sturm–Liouville problems
• Left-definite Sturm-Liouville problems

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