Classification of Certain Class of Ordinary Differential Equations of the First Order

We study problem of global classification of ordinary differential equations with the linear-fractional right-hand side with rational coefficients with respect to a symmetry group. We find the field of differential invariants and obtain the equivalence criterion for two such equations. We adduce cer...

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Bibliographic Details
Published in:Russian mathematics 2018-11, Vol.62 (11), p.1-11
Main Authors: Bibikov, P. V., Safonkin, N. A.
Format: Article
Language:English
Subjects:
Classification
Criteria
Differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary differential equations
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Summary:We study problem of global classification of ordinary differential equations with the linear-fractional right-hand side with rational coefficients with respect to a symmetry group. We find the field of differential invariants and obtain the equivalence criterion for two such equations. We adduce certain examples for applying of this criterion. These examples were obtained by means of computer.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X18110014