Construction of a~system of linear differential equations from a~scalar equation
Informatics and Automation, Differential equations and topology. II, Tome 271 (2010), pp. 335-351
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As is well known, given a Fuchsian differential equation, one can construct a Fuchsian system with the same singular points and monodromy. In the present paper, this fact is extended to the case of linear differential equations with irregular singularities.
@article{TRSPY_2010_271_a21,
author = {I. V. V'yugin and R. R. Gontsov},
title = {Construction of a~system of linear differential equations from a~scalar equation},
journal = {Informatics and Automation},
pages = {335--351},
publisher = {mathdoc},
volume = {271},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TRSPY_2010_271_a21/}
}
TY - JOUR AU - I. V. V'yugin AU - R. R. Gontsov TI - Construction of a~system of linear differential equations from a~scalar equation JO - Informatics and Automation PY - 2010 SP - 335 EP - 351 VL - 271 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TRSPY_2010_271_a21/ LA - ru ID - TRSPY_2010_271_a21 ER -
I. V. V'yugin; R. R. Gontsov. Construction of a~system of linear differential equations from a~scalar equation. Informatics and Automation, Differential equations and topology. II, Tome 271 (2010), pp. 335-351. http://geodesic.mathdoc.fr/item/TRSPY_2010_271_a21/