摘要
研究了隐函数定理和Peano定理之间的一种关系.以构造的方法,得到一个连续可微的函数,进而利用Peano定理,证明了隐函数定理.
The main purpose of this paper is to study a kind of relation between the implicit function and Peano's theorem. The method of construction is used to get a continuous differentiable function. Then the implicit function theorem is obtained by using Peano's theorem.
出处
《衡水学院学报》
2010年第1期3-4,7,共3页
Journal of Hengshui University
基金
陕西省自然科学基金资助项目(2007A12)
关键词
连续可微
ROLLE定理
Peano定理
隐函数定理
continuous differentiable
Rolle's mean value theorem
Peano's theorem
the implicit function theorem