dc.contributor.author | Hryniv, Rostyslav | |
dc.contributor.author | Manko, Stepan | |
dc.date.accessioned | 2021-06-30T12:03:57Z | |
dc.date.available | 2021-06-30T12:03:57Z | |
dc.date.issued | 2020-08-31 | |
dc.identifier.citation | Hryniv R.O. and Manko S. S. Inverse scattering on the half-line for energy-dependent Schrödinger equations // Inverse Problems. 2020. V. 36, paper id 095002 (15pp), https://doi.org/10.1088/1361-6420/aba416 | uk |
dc.identifier.uri | https://er.ucu.edu.ua/handle/1/2713 | |
dc.description.abstract | In this paper, we study the inverse scattering problem for energy-dependent Schrödinger equations on the half-line with energy-dependent boundary conditions at the origin. Under certain positivity and very mild regularity assumptions, we transform this scattering problem to the one for non-canonical Dirac systems and show that, in turn, the latter can be placed within the known scattering theory for ZS-AKNS systems. This allows us to give a complete description of the corresponding scattering functions S for the class of problems under consideration and justify an algorithm of reconstructing the problem from S. | uk |
dc.language.iso | en | uk |
dc.publisher | IOP Publishing | uk |
dc.rights | Attribution-NonCommercial-ShareAlike 3.0 United States | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/us/ | * |
dc.subject | ||
dc.subject | Schrödinger equation | |
dc.subject | inverse scattering | |
dc.subject | energy-dependent potentials | |
dc.title | Inverse scattering on the half-line for energy-dependent Schrödinger equations | uk |
dc.type | Article | uk |
dc.status | Опублікований і розповсюджений раніше | uk |
dc.identifier.doi | https://doi.org/10.1088/1361-6420/aba416 | |
dc.description.abstracten | In this paper, we study the inverse scattering problem for energy-dependent Schrödinger equations on the half-line with energy-dependent boundary conditions at the origin. Under certain positivity and very mild regularity assumptions, we transform this scattering problem to the one for non-canonical Dirac systems and show that, in turn, the latter can be placed within the known scattering theory for ZS-AKNS systems. This allows us to give a complete description of the corresponding scattering functions S for the class of problems under consideration and justify an algorithm of reconstructing the problem from S. | uk |
dc.relation.source | Inverse Problems | uk |
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