Effective procedure of point-classification for the equation $y'' = P + 3 Q y' + 3 R {y'}^2 + S {y'}^3$

Details Effective procedure of point-classification for the equation $y'' = P + 3 Q y' + 3 R {y'}^2 + S {y'}^3$ Effective procedure of point-classification for the equation $y'' = P + 3 Q y' + 3 R {y'}^2 + S {y'}^3$

1998-02-05

arxiv.org/abs/math/9802027v1

Mathematics

Differential Geometry

AmSTeX, Ver. 2.1, 35 pages, amsppt style

Scientific paper

For the equations of the form $y''=P(x,y)+3 Q(x,y) y'+3 R(x,y) {y'}^2 +S(x,y)
{y'}^3$ the problem of equivalence in the class of point transformations is
considered. Effective procedure for determining the class of point equivalence
for the given equation is suggested. This procedure is based on explicit
formulas for the invariants.

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