Reconstruction of  energy-dependent Sturm-Liouville equations from two spectra. II

N.I. Pronska

doi:10.15330/cmp.5.2.315-325

Reconstruction of energy-dependent Sturm-Liouville equations from two spectra. II

Authors

N.I. Pronska Institute for Applied Problems of Mechanics and Mathematics, 3b Naukova str., 79060, Lviv, Ukraine

https://doi.org/10.15330/cmp.5.2.315-325

Keywords:

inverse problems, Sturm-Liouville equations, energy-dependent potentials, singular potentials

Published online: 2013-12-30

Abstract

We study the problem of reconstruction of singular energy-dependent Sturm-Liouville equation from two spectra. We suggest a new method of solving this inverse problem by establishing its connection with the problem of reconstruction from one spectrum and the set of norming constants.