Half inverse problem for operators with singular potential

被引：6

作者：

Koyunbakan, Hikmet ^{[1
]}

Panakhov, Etibar S. ^{[1
]}

机构：

[1] Firat Univ, Dept Math, TR-23119 Elazig, Turkey

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2007年 / 18卷 / 10期

关键词：

singular Sturm-Liouville problem; eigenfunction; spectrum;

D O I：

10.1080/10652460701452571

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A half-inverse problem for Sturm-Liouville operators consists of reconstruction of this operator by its spectrum and half of the potential. In this study, we show that if q(x) is prescribed on ( pi/2, pi), then, only one spectrum is sufficient to determine q(x) on the interval ( 0, pi/2) for the Sturm-Liouville equation having singularity type 1/sin(2) x on ( 0, pi).

引用

页码：765 / 770

页数：6

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