Geodesic
Constructive solution of scattering inverse problem for systems of ordinary differential equations with singularities
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2023), pp. 24-34

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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. 
@article{VMUMM_2023_2_a2,
     author = {M. Yu. Ignat'ev},
     title = {Constructive solution of scattering inverse problem for systems of ordinary differential equations with singularities},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {24--34},
     publisher = {mathdoc},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2023_2_a2/}
}
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M. Yu. Ignat'ev. Constructive solution of scattering inverse problem for systems of ordinary differential equations with singularities. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2023), pp. 24-34. http://geodesic.mathdoc.fr/item/VMUMM_2023_2_a2/