N. V. Stepanov and his geometric theory of ordinary differential equations
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Mathematical physics, Tome 139 (2017), pp. 3-8
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We review main results of the geometric theory of ordinary differential equations obtained by the eminent Russian geometer N. V. Stepanov (1926–1991). Some of results of Stepanov are illustrated by examples of third- and five-order equations.
Keywords:
ordinary differential equation, connection, differential-algebraic characteristics, symmetry group.
Mots-clés : invariant, classification
Mots-clés : invariant, classification
@article{INTO_2017_139_a0,
author = {G. A. Banaru},
title = {N.~V.~Stepanov and his geometric theory of ordinary differential equations},
journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
pages = {3--8},
year = {2017},
volume = {139},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTO_2017_139_a0/}
}
TY - JOUR AU - G. A. Banaru TI - N. V. Stepanov and his geometric theory of ordinary differential equations JO - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory PY - 2017 SP - 3 EP - 8 VL - 139 UR - http://geodesic.mathdoc.fr/item/INTO_2017_139_a0/ LA - ru ID - INTO_2017_139_a0 ER -
G. A. Banaru. N. V. Stepanov and his geometric theory of ordinary differential equations. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Mathematical physics, Tome 139 (2017), pp. 3-8. http://geodesic.mathdoc.fr/item/INTO_2017_139_a0/