Inverse scattering problem for Sturm-Liouville operator with nonlinear dependence on the spectral parameter in the boundary condition

被引：12

作者：

Mamedov, Kh. R. ^{[1
]}

Kosar, Andn. P. ^{[1
]}

机构：

[1] Mersin Univ, Dept Math, Sci & Letters Fac, TR-33343 Mersin, Turkey

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2011年 / 34卷 / 02期

关键词：

inverse problem on half line; Gelfand-Levitan-Marchenko equation; scattering data; nonlinear parameter in the boundary condition; uniqueness; EIGENPARAMETER; UNIQUENESS;

D O I：

10.1002/mma.1352

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The inverse problem of the scattering theory for Sturm-Liouville operator on the half line with boundary condition depending quadratic on the spectral parameter is considered. Scattering data are defined, some properties of the scattering data are examined, the main equation is obtained, solvability of the integral equation is proved and uniqueness of algorithm to the potential with given scattering data is studied. Copyright (C) 2010 John Wiley & Sons, Ltd.

引用

页码：231 / 241

页数：11

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