论文标题
分析隐式函数
Analytic Implicit Functions
论文作者
论文摘要
在本文中，我们介绍了一种将隐式方程转换为当地函数形式的方法，而无需可差。对于配备连续函数的隐式方程系统，如果存在独特的分析隐式函数，可以在某些矩形中满足系统，则每个分析函数被表示为一个功率序列，这是在本质上界限函数的空间中部分偏差的弱星限制。我们还提供了数值示例，以证明如何在实践中应用本文中的理论结果并展示建议方法的有效性。
In this paper, we introduce a method of converting implicit equations to the usual forms of functions locally without differentiability. For a system of implicit equations which are equipped with continuous functions, if there are unique analytic implicit functions, that satisfies the system in some rectangle, then each analytic function is represented as a power series which is the weak-star limit of partial sums in the space of essentially bounded functions. We also provide numerical examples in order to demonstrate how the theoretical results in this article can be applied in practice and to show the effectiveness of the suggested approaches.
