ON THE INVERSE PROBLEM FOR STURM-LIOUVILLE OPERATOR WITH A NONLINEAR SPECTRAL PARAMETER IN THE BOUNDARY CONDITION

ON THE INVERSE PROBLEM FOR STURM-LIOUVILLE OPERATOR WITH A NONLINEAR SPECTRAL PARAMETER IN THE BOUNDARY CONDITION

The inverse scattering problem is investigated for some second order differential equation with a nonlinear spectral parameter in the boundary condition on the half line [0, $\infty$). In the present paper the coefficient of spectral parameter is not a pure imaginary number and the boundary value pr...

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Bibliographic Details
Published in:Journal of the Korean Mathematical Society Vol. 46; no. 6; pp. 1243 - 1254
Main Author: Mamedov, Khanlar R
Format: Journal Article
Language:Korean
Published: 2009
Subjects:
Sturm-Liouville operator with a nonlinear spectral parameter
inverse problem of scattering theory on half line
scattering data
Online Access:Get full text
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Summary:The inverse scattering problem is investigated for some second order differential equation with a nonlinear spectral parameter in the boundary condition on the half line [0, $\infty$). In the present paper the coefficient of spectral parameter is not a pure imaginary number and the boundary value problem is not selfadjoint. We define the scattering data of the problem, derive the main integral equation and show that the potential is uniquely recovered.
Bibliography:KISTI1.1003/JNL.JAKO200933057720183
ISSN:0304-9914