Inverse spectral problem for the operators with non-local potential

被引：10
|
作者：
Zolotarev, Vladimir A. [1 ,2 ]
机构：
[1] Natl Acad Sci Ukraine, Inst Low Temp Phys & Engn, 47 Lenin Ave, UA-61103 Kharkov, Ukraine
[2] Kharkov Natl Univ, Dept Higher Math & Informat, 4 Svobody Sq, UA-61077 Kharkov, Ukraine
来源：
MATHEMATISCHE NACHRICHTEN | 2019年 / 292卷 / 03期
关键词：
inverse problem; n-interlacing property; non-local potential;
D O I：
10.1002/mana.201700029
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main object under consideration in the paper is the second derivative operator on a finite interval with zero boundary conditions perturbed by a self-adjoint integral operator with the degenerate kernel (non-local potential). The inverse problem,i.e., the reconstruction of the perturbation from the spectral data, is solved by means of the step-by-step procedure based on the n-interlacing property of the spectrum.
引用
收藏
页码：661 / 681
页数：21
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