Differential Equations

, Volume 41, Issue 4, pp 588–590 | Cite as

Remarks on a Lie Theorem on the Integrability of Differential Equations in Closed Form

  • V. V. Kozlov
Short Communications
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Keywords

Differential Equation Partial Differential Equation Ordinary Differential Equation Functional Equation 
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REFERENCES

  1. 1.
    Chebotarev, N.G., Teoriya grupp Li (Theory of Lie Groups), Moscow, 1940.Google Scholar
  2. 2.
    Olver, P.J., Applications of Lie Groups to Differential Equations, Berlin: Springer, 1986. Translated under the title Prilozheniya grupp Li k differentsial’nym uravneniyam, Moscow: Mir, 1989.Google Scholar
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    Kozlov, V.V., Simmetriya, topologiya i rezonansy v gamil’tonovoi mekhanike (Symmetry, Topology, and Resonances in Hamiltonian Mechanics), Izhevsk, 1995.Google Scholar
  4. 4.
    Kaplansky, I., An Introduction to Differential Algebra, Paris: Hermann, 1957. Translated under the title Vvedenie v differentsial’nuyu algebru, Moscow: Inostr. Lit., 1959.Google Scholar
  5. 5.
    Kozlov, V.V. and Kolesnikov, N.N., Vestn. Mosk. Univ. Mat., Mekh., 1979, no. 6, pp. 88–91.Google Scholar

Copyright information

© MAIK “Nauka/Interperiodica” 2005

Authors and Affiliations

  • V. V. Kozlov
    • 1
  1. 1.Moscow State UniversityMoscowRussia

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