Comparison of two classifications of a class of ODE's in the first case of intermediate degeneration

Abstract

Two classifications of second order ODE's cubic with respect to the first order derivative are compared in the first case of intermediate degeneration. The correspondence of vectorial, pseudovectorial, scalar, and pseudoscalar invariants of the equations in this case is established.

AmSTeX, 26 pages, amsppt style, US letter size, double-sided

References in corpus (6)

• Course of differential geometry
• Course of linear algebra and multidimensional 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 $y^{\prime \prime }=P+3Q{y}^{\prime }+3R{y^{\prime }}^2+S{y^{\prime }}^3$
• Comparison of two classifications of a class of ODE's in the case of general position

Cited by in corpus (1)

• Umbilical and zero curvature equations in a class of second order ODE's