Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 139, Pages 3–8 (Mi into219)  
N. V. Stepanov and his geometric theory of ordinary differential equations

G. A. Banaru

Smolensk State University
Full-text PDF (160 kB)
Abstract: 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, invariant, connection, classification, differential-algebraic characteristics, symmetry group.
English version:
Journal of Mathematical Sciences, 2019, Volume 241, Issue 3, Pages 245–250
DOI: https://doi.org/10.1007/s10958-019-04420-9
Bibliographic databases:
Document Type: Article
UDC: 514.763.8
MSC: 34A26, 53A55
Language: Russian
Citation: G. A. Banaru, “N. V. Stepanov and his geometric theory of ordinary differential equations”, Differential equations. Mathematical physics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 139, VINITI, M., 2017, 3–8; Journal of Mathematical Sciences, 241:3 (2019), 245–250
Citation in format AMSBIB
\Bibitem{Ban17}
\by G.~A.~Banaru
\paper N.~V.~Stepanov and his geometric theory of ordinary differential equations
\inbook Differential equations. Mathematical physics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 139
\pages 3--8
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into219}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3799901}
\zmath{https://zbmath.org/?q=an:1429.53018}
\transl
\jour Journal of Mathematical Sciences
\yr 2019
\vol 241
\issue 3
\pages 245--250
\crossref{https://doi.org/10.1007/s10958-019-04420-9}
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