Journals / Turkish Journal of Mathematics / 2004 / Cilt: 28 - Sayı: 3

Determination of a Fractional-Linear Pencil of Sturm-Liouville Operators by Two of Its Spectra

Pages
307–311
DOI
—

Abstract

In this paper we consider the Sturm-Liouville equations on a finite interval which is fractional-linear in the spectral parameter. The inverse spectral problem consisting of the recovering of the operator from the two spectra is investigated and a uniqueness theorem for solution of the inverse problem is proved.

Özet

In this paper we consider the Sturm-Liouville equations on a finite interval which is fractional-linear in the spectral parameter. The inverse spectral problem consisting of the recovering of the operator from the two spectra is investigated and a uniqueness theorem for solution of the inverse problem is proved.

Keywords: Eigenvalue, scattering function