Proceedings of the International Conference on Geometry, Integrability and Quantization

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

Hamza Menken and Khanlar R. Mamedov

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.

Article information

Source
Proceedings of the Seventh International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov and Manuel de León, eds. (Sofia: Softex, 2006), 226-236

Dates
First available in Project Euclid: 14 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436909358

Digital Object Identifier
doi:10.7546/giq-7-2006-226-236

Mathematical Reviews number (MathSciNet)
MR2228375

Zentralblatt MATH identifier
1106.34059

Citation

Menken, Hamza; Mamedov, Khanlar R. On the Inverse Problem of the Scattering Theory for a Boundary-Value Problem. Proceedings of the Seventh International Conference on Geometry, Integrability and Quantization, 226--236, Softex, Sofia, Bulgaria, 2006. doi:10.7546/giq-7-2006-226-236. https://projecteuclid.org/euclid.pgiq/1436909358


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