On non-integrability of general systems of differential equations

  • Stanislav D. Furta
Original Papers

DOI: 10.1007/BF00917577

Cite this article as:
Furta, S.D. Z. angew. Math. Phys. (1996) 47: 112. doi:10.1007/BF00917577


The article is aimed at finding an algebraic criterion of non-integrability of non-Hamiltonian systems of differential equations. The main idea is to use the so-called Kowalevsky exponents to reveal whether the system under consideration is integrable or not. The method used in this article is based on previous works by H. Yoshida. The article suggests improving the above technique in such a way that it can be applied to a wider class of differential equations.

Copyright information

© Birkhäuser Verlag 1996

Authors and Affiliations

  • Stanislav D. Furta
    • 1
  1. 1.Dept of Theoretical MechanicsMoscow Aviation InstituteMoscowRussia

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