ON THE INVERSE PROBLEM FOR STURM-LIOUVILLE OPERATOR WITH A NONLINEAR SPECTRAL PARAMETER IN THE BOUNDARY CONDITION

被引：9

作者：

Mamedov, Khanlar R. ^{[1
]}

机构：

[1] Mersin Univ, Dept Math, TR-33343 Mersin, Turkey

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2009年 / 46卷 / 06期

关键词：

inverse problem of scattering theory oil half line; Sturm-Liouville operator with a nonlinear spectral parameter; scattering data; HALF-LINE; PENCILS;

D O I：

10.4134/JKMS.2009.46.6.1243

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The inverse scattering problem is investigated for some second order differential equation with a nonlinear spectral parameter in the boundary condition on the half line [0, infinity). In the present paper the coefficient of spectral parameter is not a pure imaginary number and the boundary value problem is riot selfadjoint. We define the scattering data of the problem, derive the main integral equation and show that the potential is uniquely recovered.

引用

页码：1243 / 1254

页数：12

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