Geodesic
On Scattering Data for Differential Systems with a Singularity
Matematičeskie zametki, Tome 111 (2022) no. 6, pp. 846-863

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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. 
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     author = {M. Yu. Ignat'ev},
     title = {On {Scattering} {Data} for {Differential} {Systems} with a {Singularity}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {846--863},
     publisher = {mathdoc},
     volume = {111},
     number = {6},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_111_6_a3/}
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M. Yu. Ignat'ev. On Scattering Data for Differential Systems with a Singularity. Matematičeskie zametki, Tome 111 (2022) no. 6, pp. 846-863. http://geodesic.mathdoc.fr/item/MZM_2022_111_6_a3/