针对两个初始条件相同的柯西问题,利用二元或三元实函数的性质和不动点理论,得出存在相同的唯一解的条件,并推广了增微分方程解的存在唯一性定理.
About the Cauchy problem that have two same Cauchy conditions, by using the properties of binary and ternary solid function and fixed point theory, it is concluded that the condition of having the same unique solution, and generalize the theory for the existence and uniqueness of solutions on ordinary differential equation.