Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 2, Pages 24–34
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-2-3 (Mi vmumm4526) 		 
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
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DOI: https://doi.org/10.55959/MSU0579-9368-1-64-2-3
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.
Funding agency Grant number
Russian Science Foundation 21-71-10001
Received: 21.12.2021
English version:
Moscow University Mathematics Bulletin, 2023, Volume 78, Issue 2, Pages 83–94
DOI: https://doi.org/10.3103/S0027132223020031
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
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
Citation in format AMSBIB
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\paper Constructive solution of scattering inverse problem for systems of ordinary differential equations with singularities
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
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\issue 2
\pages 24--34
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\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-2-3}
\zmath{https://zbmath.org/?q=an:7711508}
\elib{https://elibrary.ru/item.asp?id=50506483}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2023
\vol 78
\issue 2
\pages 83--94
\crossref{https://doi.org/10.3103/S0027132223020031}
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