On the inverse problem of the scattering theory for a boundary value problem. (English) Zbl 1106.34059

Mladenov, Ivaïlo (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 (ISBN 954-8495-30-9/pbk). 226-236 (2006).
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.
For the entire collection see [Zbl 1089.53004].


34L25 Scattering theory, inverse scattering involving ordinary differential operators
34B40 Boundary value problems on infinite intervals for ordinary differential equations
34L40 Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.)