Solution to Rubel's question about differentially algebraic dependence on initial values
经典分析与常微分方程
2007-05-23 v4
摘要
We prove that, for generic systems of polynomial differential equations, the dependence of the solution on the initial conditions is not differentially algebraic. This answers, in the negative, a question posed by L.A. Rubel.
引用
@article{arxiv.math/0210472,
title = {Solution to Rubel's question about differentially algebraic dependence on initial values},
author = {Guy Katriel},
journal= {arXiv preprint arXiv:math/0210472},
year = {2007}
}