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Zbl 1106.34059
Menken, Hamza; Mamedov, Khanlar R.
On the inverse problem of the scattering theory for a boundary value problem. (English)
[A] Mladenov, Iva\"ilo (ed.) et al., Proceedings of the 7th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 2--10, 2005. Sofia: Bulgarian Academy of Sciences. 226-236 (2006). ISBN 954-8495-30-9/pbk

Following the lines of the Gelfand-Levitan-Marchenko theory, the authors solve an inverse scattering problem for the (one-dimensional) Schrödinger equation on the half-line with a boundary condition at 0, which depends linearly on the spectral parameter.
[Vassilis G. Papanicolaou (Athena)]

MSC 2000:: *34L25 Scattering theory (ODE)
34B40 Boundary value problems on infinite intervals
34L40 Particular ordinary differential operators

Keywords: Schrödinger equation on the half-line; inverse scattering problem; scattering data; Gelfand-Levitan-Marchenko theory; boundary condition containing the spectral parameter

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