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arXiv · 1203.4851

Inverse spectral problems for energy-dependent Sturm-Liouville equations

Rostyslav Hryniv·Nataliya Pronska
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Abstract

We study the inverse spectral problem of reconstructing energy-dependent Sturm-Liouville equations from their Dirichlet spectra and sequences of the norming constants. For the class of problems under consideration, we give a complete description of the corresponding spectral data, suggest a reconstruction algorithm, and establish uniqueness of reconstruction. The approach is based on connection between spectral problems for energy-dependent Sturm-Liouville equations and for Dirac operators of special form.

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BibTeXRIS

Rostyslav Hryniv, Nataliya Pronska. 2012-03-21. Inverse spectral problems for energy-dependent Sturm-Liouville equations. https://doi.org/10.1088/0266-5611%2F28%2F8%2F085008

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