Uniqueness of the solution of the inverse problem of scattering theory for the Sturm-Liouville operator with a spectral parameter in the boundary condition. (Q1889516)
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scientific article; zbMATH DE number 2121022
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness of the solution of the inverse problem of scattering theory for the Sturm-Liouville operator with a spectral parameter in the boundary condition. |
scientific article; zbMATH DE number 2121022 |
Statements
Uniqueness of the solution of the inverse problem of scattering theory for the Sturm-Liouville operator with a spectral parameter in the boundary condition. (English)
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2 December 2004
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The inverse scattering problem is solved for the Sturm-Liouville equation \[ -y''+q(x)y=\lambda^2 y,\; x>0,\; (1+x)q(x)\in L(0,\infty), \] with the boundary condition \(y'(0)=(a_0+ia_1\lambda+a_2\lambda^2)y(0)=0\), where \(q(x)\) and \(a_0\) are real, and \(a_1\geq 0,\, a_2>0\).
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inverse scattering problem
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transformation operator method
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