Painlev\'e's theorem extended
复变函数
2007-05-23 v2 数学物理
math.MP
摘要
We extend Painlev\'e's determinateness theorem from the theory of ordinary differential equations in the complex domain allowing more general 'multiple-valued' Cauchy's problems. We study continuability (near singularities) of solutions.
引用
@article{arxiv.math/0109081,
title = {Painlev\'e's theorem extended},
author = {Claudio Meneghini},
journal= {arXiv preprint arXiv:math/0109081},
year = {2007}
}
备注
3 pages, LaTeX; completely revised version