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- Title
On an Inverse Scattering Problem for a Discontinuous Sturm-Liouville Equation with a Spectral Parameter in the Boundary Condition.
- Authors
Mamedov, Khanlar R.
- 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.
- Subjects
NUMERICAL analysis; INVERSE problems; NUMERICAL solutions to boundary value problems; NUMERICAL solutions to Sturm-Liouville equations; SPECTRAL theory; PARAMETER estimation; SCATTERING (Mathematics); DISCONTINUOUS functions
- Publication
Boundary Value Problems, 2010, p1
- ISSN
1687-2762
- Publication type
Article
- DOI
10.1155/2010/171967