Reduction of underdetermined systems of ordinary differential equations: II

We study the equivalence of underdetermined systems of ordinary differential equations and present a local classification of systems that are linear in derivatives, are sufficiently regular, and consist of two equations.

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Bibliographic Details
Published inDifferential equations Vol. 46; no. 11; pp. 1525 - 1536
Main Author Elkin, V. I.
Format Journal Article
LanguageEnglish
Published Dordrecht SP MAIK Nauka/Interperiodica 01.11.2010
Springer Nature B.V
Subjects
Classification
Derivatives
Difference and Functional Equations
Differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Reduction
Studies
Constant Rank
Basis Family
Frobenius Theorem
Auxiliary Assertion
Independent Equation
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Summary:We study the equivalence of underdetermined systems of ordinary differential equations and present a local classification of systems that are linear in derivatives, are sufficiently regular, and consist of two equations.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266110110017