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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 11, Pages 3–14 (Mi ivm9408)  
On classification of one class of the first order ODE

P. V. Bibikova, N. A. Safonkinb

a Institute of Control Sciences of Russian Academy of Sciences, 65 Profsoyuznaya str., Moscow, 117997 Russia
b National Research University “Higher School of Economics”, 6 Usacheva str., Moscow, 119048 Russia
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Abstract: We study the problem of global classification of ordinary differential equations with the linear-fractional right-hand side with rational coefficients with respect to the symmetry group. We find the field of differential invariants and obtain the equivalence criterion for two such equations. We adduce some examples for applying of this criterion. These examples were obtained with the help of a computer.
Keywords: ordinary differential equations, differential invariant, jet space, algebraic geometry.
Funding agency Grant number
Russian Foundation for Basic Research 16-31-60018_мол_а_дк
Received: 30.09.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 11, Pages 1–11
DOI: https://doi.org/10.3103/S1066369X18110014
Bibliographic databases:
Document Type: Article
UDC: 517.923:514.763
Language: Russian
Citation: P. V. Bibikov, N. A. Safonkin, “On classification of one class of the first order ODE”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 11, 3–14; Russian Math. (Iz. VUZ), 62:11 (2018), 1–11
Citation in format AMSBIB
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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