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

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REFERENCES

  1. Chebotarev, N.G., Teoriya grupp Li (Theory of Lie Groups), Moscow, 1940.

  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.

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  3. Kozlov, V.V., Simmetriya, topologiya i rezonansy v gamil’tonovoi mekhanike (Symmetry, Topology, and Resonances in Hamiltonian Mechanics), Izhevsk, 1995.

  4. Kaplansky, I., An Introduction to Differential Algebra, Paris: Hermann, 1957. Translated under the title Vvedenie v differentsial’nuyu algebru, Moscow: Inostr. Lit., 1959.

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  5. Kozlov, V.V. and Kolesnikov, N.N., Vestn. Mosk. Univ. Mat., Mekh., 1979, no. 6, pp. 88–91.

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  1. Moscow State University, Moscow, Russia

    V. V. Kozlov

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  1. V. V. Kozlov
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Translated from Differentsial’nye Uravneniya, Vol. 41, No. 4, 2005, pp. 553–555.

Original Russian Text Copyright © 2005 by Kozlov.

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Kozlov, V.V. Remarks on a Lie Theorem on the Integrability of Differential Equations in Closed Form. Diff Equat 41, 588–590 (2005). https://doi.org/10.1007/s10625-005-0193-3

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  • DOI: https://doi.org/10.1007/s10625-005-0193-3

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