在适当的假设条件下，得到了正解的整体存在性与有限时刻爆破的结论。
Under appropriate hypotheses, the global existence and finite time blow-up of positive solutions are obtained.
在初始能量具有足够大的负能量情况下，解在有限时间发生爆破。
The solution blows up in finite time under initial energy that is negative enough.
本文给出了随机微分方程存在唯一正解，且解在有限时间内不爆破。
We show that the positive solution of the associated stochastic differential equation does not explode to infinity in a finite time.
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