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Group classification of ODE y‴ = F (x, y, y′)
Blekinge Institute of Technology, School of Engineering, Department of Mathematics and Natural Sciences.
2014 (English)In: Communications in nonlinear science & numerical simulation, ISSN 1007-5704, Vol. 19, no 2, 345-349 p.Article in journal (Refereed) Published
Abstract [en]

In his extensive work of 1884 on the group classification of ordinary differential equations Lie performed, inter alia, the group classification of the particular type of the second-order equations y″ = F (x, y). In the present paper we extend Lie's classification to the third-order equations y‴ = F (x, y, y′).

Place, publisher, year, edition, pages
Elsevier , 2014. Vol. 19, no 2, 345-349 p.
Keyword [en]
Group classification, Lie symmetries, Ordinary differential equations
National Category
Mathematics
Identifiers
URN: urn:nbn:se:bth-6714DOI: 10.1016/j.cnsns.2013.06.009ISI: 000325128700004Local ID: oai:bth.se:forskinfo3D83E00B36BD3DA2C1257BE5004D1901OAI: oai:DiVA.org:bth-6714DiVA: diva2:834247
Available from: 2014-04-23 Created: 2013-09-13 Last updated: 2015-06-30Bibliographically approved

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Ibragimov, Nail
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