一维空间中极大值原理的条件研究

Research on the Condition of Maximum Principle in One-Dimensional Space

本文通过改变条件函数c(t)的取值范围,得到了条件函数 时极大值原理不成立的反例。同时,通过举反例的方法得到了条件函数c(t)≥0不是极大值原理成立的必要条件。

In this paper, by changing the value range of the conditional function c(t), counterexamples are obtained that the maximum value principle does not hold when the conditional function is . At the same time, the conditional function c(t)≥0 is not a necessary condition for the maximum principle to be established through counterexamples.