On an Inverse Scattering Problem for a Discontinuous Sturm-Liouville Equation with a Spectral Parameter in the Boundary Condition. (21st June 2010)

• Record Type: Journal Article
• Authors: Mamedov, Khanlar R.
• Other Names: Chipot Michel C. Academic Editor.
• Is Part Of: Boundary value problems. Volume 2010(2010)
• Publication Date: 2010-06-21
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2010/171967
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : An inverse scattering problem is considered for a discontinuous Sturm-Liouville equation on the half-line[ 0, ∞ ) 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.