期刊论文

中文

应用数学

1001-9847

2013

26

1

125-128

10.3969/j.issn.1001-9847.2013.01.016

(11A31):衡阳师范学院科学基金青年项目

本校为第一机构

考虑一类右端函数为多项式情形的常微分方程组初值问题的奇异性.先指出Getz-Jacobson所提出的代数方法的某些不足,然后提出一个新的方法,使得更加方便地讨论此类问题解的爆破性质.最后应用这种方法成功地解决了来自化学反应的一个实例.

The singularity of the initial value problem for a class of ordinary differential e- quations with polynomial right hand side is studied. After some localizations of the Getz-Ja- cobson method were pointed out,a new method is put forward to study the blow-up phenom- enon of the mentioned equation expediently. An example from the chemical reactio...