An inverse nodal problem for integro-differential operators

被引：41

作者：

Kuryshova, Yulia V. ^{[1
]}

Shieh, Chung-Tsun ^{[2
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Dept Math, Saratov, Russia

[2] Tamkang Univ, Dept Math, Tamsui, Taipei County, Taiwan

来源：

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2010年 / 18卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

Inverse nodal problem; integral-differential operators; eigenvalues;

D O I：

10.1515/JIIP.2010.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The inverse nodal problem of recovering integral-differential operators with the Sturm-Liouville differential part and the integral part of Volterra type is studied. We reconstruct the potential and the boundary conditions provided the kernel of integral perturbation is known. We prove a uniqueness theorem and provide reconstruction formulae for the potential and parameters of the boundary conditions.

引用

页码：357 / 369

页数：13

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