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.
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Translated from Matematicheskie Zametki, vol. 77, no. 5, 2005, pp. 719–726.
Original Russian Text Copyright ©2005 by V. V. Kartak.
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Kartak, V.V. On the Geometry of Point-Transformation Invariant Class of Third-Order Ordinary Differential Equations. Math Notes 77, 663–670 (2005). https://doi.org/10.1007/s11006-005-0066-3
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DOI: https://doi.org/10.1007/s11006-005-0066-3