常微分方程解的存在唯一性定理的推广

Generalization of Existence and Uniqueness of Solution to Ordinary Differential Equation

推广了一阶微分方程dx/dt=F(t,x)初值问题解的存在唯一性定理,在F(t,x)满足Holder条件下,利用压缩映射原理证明了微分方程解的存在唯一性.

Existence and uniqueness of solution is generalized to the initial problem of first order differential equation dx/dt = F（t/x）. The existence and uniqueness of the solution to differential equation is proved assuming that F（t/x） satisfies Htilder condition, by using the contraction mapping theorem,.