一类迭代微分方程解的存在唯一性定理

Existence and Uniqueness Theorem of Solution for a Class of Iterative Differential Equation

利用Picard逐步逼近法研究一类迭代微分方程解的存在唯一性,体现了Picard逐步逼近法在迭代微分方程中的应用。

By using Picard approximation,the existence and uniqueness of solution for a class of iterative differential equation is studied.The theorem positively answers the initial value problem proposed in reference and illustrates the application of Picard approximation in iterative differential equation again.