一阶常微分方程爆破解的存在性

Finite Time Blow-up Solution in the Ordinary Differential Equation of First Order

有限时刻爆破点在定性分析中可分为两类:一类为可移性奇点中的极点,一类为固定奇点.论文得到了关于一阶常微分方程中两类爆破点存在的若干判别条件.

There are two kinds of finite time blow-up according to the qualitative theory： the pole of the movable singular point and the fixed singular point. This paper gives several criterions for the existence of points where the ordinary differential equation of first order exhibits the two kinds of finite time blow-up.