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Matematicheskie Zametki, 2022, Volume 111, Issue 6, Pages 846–863
DOI: https://doi.org/10.4213/mzm13429 (Mi mzm13429) 		 
On Scattering Data for Differential Systems with a Singularity

M. Yu. Ignat'ev

Saratov State University
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DOI: https://doi.org/10.4213/mzm13429
Abstract: We study the characteristic properties of scattering data for the differential system with a singularity $y'-x^{-1}Ay-q(x)y=\rho By$ in the case of an integrable potential $q(\,\cdot\,)$. Structural and analytical properties are established for the conjugation matrix – a part of the scattering data related to the continuous spectrum.
Keywords: scattering problems, differential systems, singularity.
Funding agency Grant number
Russian Science Foundation 21-71-10001
This work was supported by the Russian Science Foundation under grant no. 21-71-10001, https://rscf.ru/project/21-71-10001.
Received: 20.01.2022
English version:
Mathematical Notes, 2022, Volume 111, Issue 6, Pages 879–893
DOI: https://doi.org/10.1134/S0001434622050212
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: M. Yu. Ignat'ev, “On Scattering Data for Differential Systems with a Singularity”, Mat. Zametki, 111:6 (2022), 846–863; Math. Notes, 111:6 (2022), 879–893
Citation in format AMSBIB
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\by M.~Yu.~Ignat'ev
\paper On Scattering Data for Differential Systems with a Singularity
\jour Mat. Zametki
\yr 2022
\vol 111
\issue 6
\pages 846--863
\mathnet{http://mi.mathnet.ru/mzm13429}
\crossref{https://doi.org/10.4213/mzm13429}
\transl
\jour Math. Notes
\yr 2022
\vol 111
\issue 6
\pages 879--893
\crossref{https://doi.org/10.1134/S0001434622050212}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85132565681}
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