45 citations · 58 across the 4 of their papers we have counts for
4 papers
Asymptotics of eigenvalues and eigenfunctions of energy-dependent Sturm--Liouville equations
Nataliya Pronska
We study asymptotics of eigenvalues, eigenfunctions and norming constants of singular energy-dependent Sturm--Liouville equations with complex-valued potentials. The analysis essen…
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…
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…
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…