方程 y" = P + 3 Q y' + 3 R y' + S y'^3 点分类的有效过程
Effective procedure of point-classification for the equation y" = P + 3 Q y' + 3 R y'^2 + S y'^3
R. A. Sharipov
arXiv
1998年2月5日
对于形式 y"=P(x,y)+3 Q(x,y) y'+3 R(x,y) y'^2 +S(x,y) y'^2 +S(x,y) y'^3 的方程,考虑了点变换的类等价性问题。 建议确定给定方程的点等的类别的有效程序。 此过程基于不变性的显式公式。
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.