关于Osgood条件的进一步讨论

Further discussion about Osgood condition

一阶微分方程解的存在唯一性定理是在不解出方程的情况下判断初值问题的解是否存在且唯一.在解决一阶微分方程零解的唯一性的问题中,可以将Osgood条件进一步简化.通过对Osgood条件的进一步讨论,得出了判断一阶微分方程零解的唯一性的简便方法,对此类问题的解决有很好的作用.

In this paper, we discuss Osgood condition further, then we have the simplified method to judge the unicity of zero solution about first order differential equation, this bring large convenient to judge the unicity of zero solution about first order differential equation.