中文

Ordinary differential equations with only entire solutions

复变函数 2008-02-03 v1

摘要

We prove necessary and sufficient conditions for a system z˙i=zipi(z)\dot z_i=z_ip_i(z) (pip_i a polynomial) to have only entire analytic functions as solutions.

引用

@article{arxiv.math/9706201,
  title  = {Ordinary differential equations with only entire solutions},
  author = {Erik Andersen},
  journal= {arXiv preprint arXiv:math/9706201},
  year   = {2008}
}