N. V. Stepanov and His Geometric Theory of Ordinary Differential Equations

We review the main results of the geometric theory of ordinary differential equations obtained by the prominent Russian geometer N. V. Stepanov (1926–1991). Some results obtained by Stepanov are illustrated by examples of third- and five-order equations.

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 241; no. 3; pp. 245 - 250
Main Author Banaru, G. A.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.09.2019
Springer
Springer Nature B.V
Subjects
Analysis
Differential equations
Differential geometry
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary differential equations
53A55
34A26
ordinary differential equation
symmetry group
connection
classification
differential-algebraic characteristics
invariant
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ISSN1072-3374
1573-8795
DOI10.1007/s10958-019-04420-9

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Summary:We review the main results of the geometric theory of ordinary differential equations obtained by the prominent Russian geometer N. V. Stepanov (1926–1991). Some results obtained by Stepanov are illustrated by examples of third- and five-order equations.
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ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-019-04420-9