Uniqueness of the solution of the inverse problem of scattering theory for the Sturm-Liouville operator with a spectral parameter in the boundary condition.

DOI10.1023/A:1025035620342zbMath1058.34009OpenAlexW2053016591MaRDI QIDQ1889516

Publication date: 2 December 2004

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1025035620342

zbMATH Keywords

inverse scattering problem transformation operator method

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (13)

Inverse scattering problems for Sturm-Liouville operators with spectral parameter dependent on boundary conditions ⋮ On an inverse scattering problem for a class Dirac operator with discontinuous coefficient and nonlinear dependence on the spectral parameter in the boundary condition ⋮ Uniqueness of the solution to the inverse problem of scattering theory for spectral parameter polynomially dependent Klein-Gordon s-wave equation ⋮ Inverse scattering problem with Levinson formula for eigenparameter‐dependent discrete Sturm–Liouville equation ⋮ On an inverse scattering problem for a class of Dirac operators with spectral parameter in the boundary condition ⋮ On an inverse scattering problem for a discontinuous Sturm-Liouville equation with a spectral parameter in the boundary condition ⋮ Unnamed Item ⋮ Characteristic properties of scattering data of a boundary value problem ⋮ On the expansion formula for a class of Sturm-Liouville operators ⋮ Inverse scattering problem for Sturm-Liouville operator with nonlinear dependence on the spectral parameter in the boundary condition ⋮ Characteristic properties of scattering data for discontinuous Schrödinger equations ⋮ Continuity of the scattering function and Levinson-type formula of Klein-Gordon equation ⋮ The inverse scattering problem of some Schrödinger type equation with turning point

This page was built for publication: Uniqueness of the solution of the inverse problem of scattering theory for the Sturm-Liouville operator with a spectral parameter in the boundary condition.