Construction of a~system of linear differential equations from a~scalar equation
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and topology. II, Tome 271 (2010), pp. 335-351
Voir la notice de l'article provenant de la source Math-Net.Ru
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{TM_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 = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {335--351},
publisher = {mathdoc},
volume = {271},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TM_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 - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2010 SP - 335 EP - 351 VL - 271 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TM_2010_271_a21/ LA - ru ID - TM_2010_271_a21 ER -
%0 Journal Article %A I. V. V'yugin %A R. R. Gontsov %T Construction of a~system of linear differential equations from a~scalar equation %J Trudy Matematicheskogo Instituta imeni V.A. Steklova %D 2010 %P 335-351 %V 271 %I mathdoc %U http://geodesic.mathdoc.fr/item/TM_2010_271_a21/ %G ru %F TM_2010_271_a21
I. V. V'yugin; R. R. Gontsov. Construction of a~system of linear differential equations from a~scalar equation. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and topology. II, Tome 271 (2010), pp. 335-351. http://geodesic.mathdoc.fr/item/TM_2010_271_a21/