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

被引：0

作者：

KhanlarR Mamedov

机构：

[1] Mersin University,Mathematics Department, Science and Letters Faculty

来源：

Boundary Value Problems | / 2010卷

关键词：

Inverse Problem; Spectral Parameter; Imaginary Axis; Homogenous Equation; Fundamental Equation;

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摘要：

An inverse scattering problem is considered for a discontinuous Sturm-Liouville equation on the half-line [inline-graphic not available: see fulltext] 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

共 50 条

[1] On an Inverse Scattering Problem for a Discontinuous Sturm-Liouville Equation with a Spectral Parameter in the Boundary Condition
Mamedov, Khanlar R.
[J]. BOUNDARY VALUE PROBLEMS, 2010,
[2] Inverse Scattering Problem for the Sturm-Liouville Equation with Spectral Parameter in the Discontinuity Condition
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[J]. DIFFERENTIAL EQUATIONS, 2014, 50 (04) : 554 - 558
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[8] Inverse problem for a class of Sturm-Liouville operator with spectral parameter in boundary condition
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[J]. Boundary Value Problems, 2013
[9] Inverse problem for a class of Sturm-Liouville operator with spectral parameter in boundary condition
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Cetinkaya, F. Ayca
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[10] ON THE INVERSE PROBLEM FOR STURM-LIOUVILLE OPERATOR WITH A NONLINEAR SPECTRAL PARAMETER IN THE BOUNDARY CONDITION
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[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 46 (06) : 1243 - 1254

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