常微分方程初值问题的ACG解

The ACG solution for initial problem of ordinary differential equation

利用非绝对型的Ｈｅｎｓｔｏｃｋ积分，推广了常微分方程初值问题Ｃａｒａｔｈｅｏｄｏｒｙ解的存在性定理，给出了ＡＣＧ解的存在性定理．

We generalized the existence theorem of Caratheodory solution for initial problem of ordinary differentisl equation by using the nonabsolute Henstock integral.The existence theorem of ACG solution is siven.