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.

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