On the Inverse Problem of the Scattering Theory for a Boundary-Value Problem

Menken, Hamza; Mamedov, Khanlar R.

doi:10.7546/giq-7-2006-226-236

VOL. 7 | 2006 On the Inverse Problem of the Scattering Theory for a Boundary-Value Problem

Chapter Author(s) Hamza Menken, Khanlar R. Mamedov

Editor(s) Ivaïlo M. Mladenov, Manuel de León

Geom. Integrability & Quantization, 2006: 226-236 (2006) DOI: 10.7546/giq-7-2006-226-236

Abstract

In the present work the inverse problem of the scattering theory for Sturm-Liouville differential equation with a spectral parameter in the boundary condition is investigated. The Gelfand–Marchenko–Levitan fundamental equation is obtained, the uniqueness of the solution of the inverse problem is proved and some properties of the scattering data are given.