The scattering problem for nonlocal potentials

被引：3
|
作者：
Zolotarev, V. A. [1 ,2 ]
机构：
[1] Natl Acad Sci Ukraine, Verkin Inst Low Temp Phys & Engn, Kharkov, Ukraine
[2] Kharkov Natl Univ, Kharkov, Ukraine
来源：
SBORNIK MATHEMATICS | 2014年 / 205卷 / 11期
关键词：
one-dimensional perturbation; nonlocal potential; inverse scattering problem;
D O I：
10.1070/SM2014v205n11ABEH004429
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We solve the direct and inverse scattering problems for integro-differential operators which are one-dimensional perturbations of the self-adjoint second derivative operator on the half-axis. We also describe the scattering data for this class of operators. Bibliography: 28 titles.
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页码：1564 / 1598
页数：35
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