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Scattering data in an inverse scattering problem on the semi-axis for afirst-order hyperbolic system
Author(s) -
Mansur I. Ismailov,
İbrahim Tekin
Publication year - 2013
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1303-42
Subject(s) - scattering , inverse scattering problem , mathematics , mathematical analysis , scattering theory , operator (biology) , inverse problem , inverse , inverse scattering transform , zero (linguistics) , physics , optics , geometry , biochemistry , chemistry , linguistics , philosophy , repressor , transcription factor , gene
The inverse scattering problem for the first-order hyperbolic system on the semi-axis in the case of 2 incident and 2 scattered waves under consideration of 2 problems with the same given incident waves and different boundary conditions is considered. The scattering data on the semi-axis are given in terms of the scattering operator on the whole axis for the same system with the coefficients, which are extended in the whole axis by zero.

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