Geodesic
On classification of one class of the first order ODE
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2018), pp. 3-14

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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, algebraic geometry.
Mots-clés : jet space 
@article{IVM_2018_11_a0,
     author = {P. V. Bibikov and N. A. Safonkin},
     title = {On classification of one class of the first order {ODE}},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--14},
     publisher = {mathdoc},
     number = {11},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2018_11_a0/}
}
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P. V. Bibikov; N. A. Safonkin. On classification of one class of the first order ODE. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2018), pp. 3-14. http://geodesic.mathdoc.fr/item/IVM_2018_11_a0/