一类变时滞泛函微分方程的解

Solution for a Class of Functional Differential Equations with Variable Delay

用皮卡(Picard)逐步逼近法证明一类变时滞泛函微分方程初值问题解的存在唯一性,它是常时滞泛函微分方程相应结论的推广.利用该结论可构造出一个新实例.

In this thesis, the existence and uniqueness of solution for a class of functional differential equations with variable delay are discussed. Using Picard＇s method, an important conclusion is proved, which is an improvement of the relevant conclusion for functional differential equations with ordinary delay. Finally, some examples are given by this conclusion.