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Mathematics
Constructive solution of scattering inverse problem for systems of ordinary differential equations with singularities
M. Yu. Ignat'ev N. G. Chernyshevsky Saratov State University, Faculty of Mathematics and Mechanics
Abstract:
Inverse scattering problem for differential systems with a singularity is considered. The problem is reduced to a certain linear equation, the solvability of the equation is proved. A reconstruction formula for coefficients of the system is obtained.
Key words:
inverse problems, scattering problem, singularity.
Received: 21.12.2021
Citation:
M. Yu. Ignat'ev, “Constructive solution of scattering inverse problem for systems of ordinary differential equations with singularities”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 2, 24–34; Moscow University Mathematics Bulletin, 78:2 (2023), 83–94
Linking options:
https://www.mathnet.ru/eng/vmumm4526 https://www.mathnet.ru/eng/vmumm/y2023/i2/p24
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