Reconstruction of energy-dependent Sturm-Liouville equations from two spectra
Spectral Theory
2012-05-22 v1
Abstract
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 existence and uniqueness of reconstruction. Our approach essentially exploits the connection between the spectral problems under study and those for Dirac operators of a special form.
Keywords
Cite
@article{arxiv.1205.4499,
title = {Reconstruction of energy-dependent Sturm-Liouville equations from two spectra},
author = {Nataliya Pronska},
journal= {arXiv preprint arXiv:1205.4499},
year = {2012}
}