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

Authors

SEYFOLLAH MOSAZADEH
ALIASGHAR JODAYREE AKBARFAM

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.

DOI

10.3906/mat-1807-77

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, S, & AKBARFAM, A. J (2018). On Hochstadt--Lieberman theorem for impulsive Sturm-Liouville problems with boundary conditions polynomially dependent on the spectral parameter. Turkish Journal of Mathematics 42 (6): 3002-3009. https://doi.org/10.3906/mat-1807-77