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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2009, Issue 6(72), Pages 69–73 (Mi vsgu259)  
Mathematics

The reduction of the second and third order differential equations which admit Lie algebra

Yu. O. Yakovleva

Dept. of Mathematics, Computer Science and Mathematical Methods in the Economy, Samara State University, Samara, 443011, Russia
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Abstract: In the published work, the reduction of differential equations which admit Lie algebra is presented. The differential equation of the second order which admits Lie algebra and reducted groups which are set by local point operator and exponential nonlocal operator are researched. In case of the differential equation of the third order which admits unsolvable Lie algebra, the reducted groups which are admitted by local points operators as well as non-local operators are viewed.
Keywords: differential equation, differential equation of the second order, differential equation of the third order, Lie algebra, local operator, exponential nonlocal operator.
Received: 22.05.2009
Revised: 22.05.2009
Document Type: Article
UDC: 517.18
Language: Russian
Citation: Yu. O. Yakovleva, “The reduction of the second and third order differential equations which admit Lie algebra”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2009, no. 6(72), 69–73
Citation in format AMSBIB
\Bibitem{Yak09}
\by Yu.~O.~Yakovleva
\paper The reduction of the second and third order differential equations which admit Lie algebra
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2009
\issue 6(72)
\pages 69--73
\mathnet{http://mi.mathnet.ru/vsgu259}
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    		Вестник Самарского государственного университета. Естественнонаучная серия
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