Differential Equations

April 2005, Volume 41, Issue 4, pp 588–590 | Cite as

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

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• V. V. Kozlov

Short Communications

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• 3 Citations

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
3. 3.
   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