The interlacing of spectra between continuous and discontinuous Sturm-Liouville problems and its application to inverse problems

DOI10.11650/TWJM/1500406608zbMath1255.34015OpenAlexW4248173128MaRDI QIDQ424623

Guangsheng Wei, Shouzhong Fu, Zong Ben Xu

Publication date: 4 June 2012

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

Full work available at URL: http://journal.taiwanmathsoc.org.tw/index.php/TJM/article/view/1792

zbMATH Keywords

eigenvalue inverse spectral problem discontinuous Sturm-Liouville problem Weyl-Titchmarsh-\(m\)-function

Mathematics Subject Classification ID

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

Related Items (6)

Inverse spectral problem of a class of fourth-order eigenparameter-dependent boundary value problems ⋮ An inverse three spectra problem for parameter-dependent and jumps conformable Sturm-Liouville operators ⋮ An inverse spectral problem of Sturm-Liouville problems with transmission conditions ⋮ On a class of inverse Sturm-Liouville problems with eigenparameter-dependent boundary conditions ⋮ An inverse problem for non-selfadjoint Sturm–Liouville operator with discontinuity conditions inside a finite interval ⋮ Inverse spectral problem for Sturm-Liouville operator with coupled eigenparameter-dependent boundary conditions of Atkinson type

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