On an Inverse Scattering Problem for a Discontinuous Sturm-Liouville Equation with a Spectral Parameter in the Boundary Condition

被引：27

作者：

Mamedov, Khanlar R. ^{[1
]}

机构：

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

来源：

BOUNDARY VALUE PROBLEMS | 2010年

关键词：

EIGENVALUE PARAMETER; HALF-LINE; OPERATOR; PENCILS;

D O I：

10.1155/2010/171967

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An inverse scattering problem is considered for a discontinuous Sturm-Liouville equation on the half-line [0,infinity) with a linear spectral parameter in the boundary condition. The scattering data of the problem are defined and a new fundamental equation is derived, which is different from the classical Marchenko equation. With help of this fundamental equation, in terms of the scattering data, the potential is recovered uniquely.

引用

页数：17

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