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

被引：10

作者：

Mosazadeh, Seyfollah ^{[1
]}

Akbarfam, Aliasghar Jodayree ^{[2
]}

机构：

[1] Univ Kashan, Fac Math Sci, Dept Pure Math, Kashan, Iran

[2] Univ Tabriz, Fac Math Sci, Tabriz, Iran

来源：

TURKISH JOURNAL OF MATHEMATICS | 2018年 / 42卷 / 06期

关键词：

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

D O I：

10.3906/mat-1807-77

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：3002 / 3009

页数：8