Inverse Scattering Problems for Sturm-Liouville Operators with Spectral Parameter Dependent on Boundary Conditions

被引：8

作者：

Yang, Ying ^{[1
]}

Wei, Guangsheng ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Xian, Shaanxi, Peoples R China

来源：

MATHEMATICAL NOTES | 2018年 / 103卷 / 1-2期

关键词：

Sturm-Liouville operator; inverse problem; scattering data; spectral parameter; HALF-LINE;

D O I：

10.1134/S0001434618010078

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the inverse scattering problem for the Sturm-Liouville operator on the half-line [0,a) with Herglotz function of spectral parameter in the boundary condition. The scattering data of the problem is defined, and its properties are investigated. The main equation is obtained for the solution of the inverse problem and it is shown that the potential is uniquely recovered in terms of the scattering data.

引用

页码：59 / 66

页数：8

共 15 条

[1] Construction of the half-line potential from the Jost function [J].