Comparison of two classifications of a class of ODE's in the case of general position

Abstract

Two classifications of second order ODE's cubic with respect to the first order derivative are compared in the case of general position, which is common for both classifications. The correspondence of vectorial, pseudovectorial, scalar, and pseudoscalar invariants is established.

arXiv commentAmSTeX, 17 pages, amsppt style, US letter size, double-sided

References in corpus (4)

• Course of differential geometry
• On the point transformations for the second order differential equations. I
• Effective procedure of point-classification for the equation $y^{\prime \prime }=P+3Q{y}^{\prime }+3R{y^{\prime }}^2+S{y^{\prime }}^3$
• On the point transformations for the equation $y^{\prime \prime }=P+3Q{y}^{\prime }+3R{y^{\prime }}^2+S{y^{\prime }}^3$

Cited by in corpus (2)

• Comparison of two classifications of a class of ODE's in the first case of intermediate degeneration
• Umbilical and zero curvature equations in a class of second order ODE's