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Matematicheskie Zametki, 2005, Volume 77, Issue 5, Pages 719–726
DOI: https://doi.org/10.4213/mzm2527 (Mi mzm2527) 		 
On the Geometry of Point-Transformation Invariant Class of Third-Order Ordinary Differential Equations

V. V. Kartak

Bashkir State University
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DOI: https://doi.org/10.4213/mzm2527
Abstract: Applying geometric methods, we study a class of third-order ordinary differential equations closed with respect to point transformations. We associate with such an equation the pseudovector fields formed by its coefficients. The equation possesses a maximal algebra of point-transformation symmetries if five pseudovector fields vanish.
Received: 25.03.2003
English version:
Mathematical Notes, 2005, Volume 77, Issue 5, Pages 663–670
DOI: https://doi.org/10.1007/s11006-005-0066-3
Bibliographic databases:
UDC: 517.91+514.8
Language: Russian
Citation: V. V. Kartak, “On the Geometry of Point-Transformation Invariant Class of Third-Order Ordinary Differential Equations”, Mat. Zametki, 77:5 (2005), 719–726; Math. Notes, 77:5 (2005), 663–670
Citation in format AMSBIB
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