Inverse scattering problem for nonstrict hyperbolic system on the half-axis with a nonzero boundary condition
Ismailov M.I. KalMenov T.S.
1 June 2024Walter de Gruyter GmbH
Journal of Inverse and Ill-Posed Problems
2024#32Issue 3351 - 359 pp.
The paper considers the scattering problem for the first-order system of hyperbolic equations on the half-axis with a nonhomogeneous boundary condition. This problem models the phnomennon of wave propagation in a nonstationary medium where an incoming wave unaffected by a potential field. The scattering operator on the half-axis with a nonzero boundary condition is defined and the uniqueness of the inverse scattering problem (the problem of finding the potential with respect to scattering operator) is studied.
Inverse scattering problem , nonstrict hyperbolic system , nonzero boundary condition , Transformation operators
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Gebze Technical University, Gebze-Kocaeli, Turkey
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Khazar University, Baku, Azerbaijan
Gebze Technical University
Institute of Mathematics and Mathematical Modeling
Khazar University
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