On Hochstadt--Lieberman theorem for impulsive Sturm-Liouville problems with boundary conditions polynomially dependent on the spectral parameter

Authors

SEYFOLLAH MOSAZADEH
ALIASGHAR JODAYREE AKBARFAM

DOI

10.3906/mat-1807-77

Abstract

In the present paper, we consider an inverse problem for the Sturm-Liouville operator with a finite number of discontinuities at interior points and boundary conditions polynomially dependent on the spectral parameter on an arbitrary finite interval, and prove the Hochstadt-Lieberman-type theorem for this problem.

Keywords

Sturm-Liouville problem, interior discontinuities, Hochstadt-Lieberman theorem, boundary conditions polynomially dependent on the spectral parameter

First Page

3002

Last Page

3009

Recommended Citation

MOSAZADEH, SEYFOLLAH and AKBARFAM, ALIASGHAR JODAYREE (2018) "On Hochstadt--Lieberman theorem for impulsive Sturm-Liouville problems with boundary conditions polynomially dependent on the spectral parameter," Turkish Journal of Mathematics: Vol. 42: No. 6, Article 14. https://doi.org/10.3906/mat-1807-77
Available at: https://journals.tubitak.gov.tr/math/vol42/iss6/14