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ON THE INVERSE PROBLEM FOR STURM-LIOUVILLE OPERATOR WITH A NONLINEAR SPECTRAL PARAMETER IN THE BOUNDARY CONDITION
2009
Journal of the Korean Mathematical Society
Preserved Fulltext
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, ∞). 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. Received April 8, 2008. 2000 Mathematics Subject
doi:10.4134/jkms.2009.46.6.1243
fatcat:b3kdlguferevxglz4gwvllj7du