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

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.

References in corpus (1)

• Inverse spectral problems for Dirac operators with summable potentials

Cited by in corpus (2)

• Spectral properties of Sturm-Liouville equations with singular energy-dependent potentials
• An inverse problem for the matrix quadratic pencil on a finite interval