中文

On the point transformations for the second order differential equations. I

solv-int 2016-09-08 v1 可精确求解与可积系统

摘要

Point transformations for the ordinary differential equations of the form y=P(x,y)+3Q(x,y)y+3R(x,y)(y)2+S(x,y)(y)3y''=P(x,y)+3 Q(x,y) y'+3 R(x,y) (y')^2+S(x,y) (y')^3 are considered. Some classical results are resumed. Solution for the equivalence problem for the equations of general position is described.

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引用

@article{arxiv.solv-int/9703003,
  title  = {On the point transformations for the second order differential equations. I},
  author = {V. V. Dmitrieva and R. A. Sharipov},
  journal= {arXiv preprint arXiv:solv-int/9703003},
  year   = {2016}
}

备注

AmSTeX, Version 2.1, 15 pages