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.
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页码：357 / 369
页数：13
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