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math.SP2012★ 6 cited
Spectral properties of Sturm-Liouville equations with singular energy-dependent potentials
Nataliya Pronska
We study spectral properties of energy-dependent Sturm-Liouville equations, introduce the notion of norming constants and establish their interrelation with the spectra. One of the…
math.SP2012★ 4 cited
Reconstruction of energy-dependent Sturm-Liouville equations from two spectra
Nataliya Pronska
In this paper we study the inverse spectral problem of reconstructing energy-dependent Sturm-Liouville equations from two spectra. We give a reconstruction algorithm and establish…
math.SP2012★ 45 cited
Inverse spectral problems for energy-dependent Sturm-Liouville equations
Rostyslav Hryniv, Nataliya Pronska
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 clas…