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

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Abstract

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.

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Authors and Affiliations

  1. Institute of Control Sciences of Russian Academy of Sciences, ul. Profsoyuznaya 65, Moscow, 117997, Russia

    P. V. Bibikov

  2. National Research University “Higher School of Economics”, ul. Usacheva 6, Moscow, 119048, Russia

    N. A. Safonkin

Authors
  1. P. V. Bibikov
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  2. N. A. Safonkin
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Correspondence to P. V. Bibikov.

Additional information

Original Russian Text © P.V. Bibikov, N.A. Safonkin, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, No. 11, pp. 3–14.

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Bibikov, P.V., Safonkin, N.A. Classification of Certain Class of Ordinary Differential Equations of the First Order. Russ Math. 62, 1–11 (2018). https://doi.org/10.3103/S1066369X18110014

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  • DOI: https://doi.org/10.3103/S1066369X18110014

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