Nonlinear differential galois theory

Jinzhi Lei Tsinghua University

Classical Analysis and ODEs mathscidoc:1702.05004

ArXiv, 0608492v2
Differential Galois theory has played important roles in the the- ory of integrability of linear differential equation. In this paper we will extend the theory to nonlinear case and study the integrability of the first order non- linear differential equation. We will define for the differential equation the differential Galois group, will study the structure of the group, and will prove the equivalent between the existence of the Liouvillian first integral and the solvability of the corresponding differential Galois group.
No keywords uploaded!
[ Download ] [ 2017-02-10 16:25:21 uploaded by jzlei ] [ 232 downloads ] [ 0 comments ]
@inproceedings{jinzhinonlinear,
  title={NONLINEAR DIFFERENTIAL GALOIS THEORY},
  author={Jinzhi Lei},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170210162521760264431},
  booktitle={ArXiv},
  pages={0608492v2},
}
Jinzhi Lei. NONLINEAR DIFFERENTIAL GALOIS THEORY. In ArXiv. pp.0608492v2. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170210162521760264431.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved