基于一类迭代方程可微性解存在探讨  

On the Existence of Differentiable Solutions for a Class of Iterative Equations

作　　者：胡国兴[1] HU Guoxing(Hefei Preschool Education College,Hefei 230013,China)

机构地区：[1]合肥幼儿师范高等专科学校,安徽合肥230013

出　　处：《安阳师范学院学报》2021年第5期1-4,共4页Journal of Anyang Normal University

基　　金：安徽省质量工程教学研究项目(项目编号:2018jyxm0906)。

摘　　要：迭代理论在数学中有着广泛的应用。文章从可微函数f不存在方面讨论一类迭代方程的可微解,得到这类方程可微解不存在的条件。在不动点与映射的基本概念和三个相关引理的基础上得到的三个判定定理。利用这三个判定定理的条件对g的不动点三种情形进行判定,结果表明满足ff=g的可微函数f都不存在。Iterative theory was widely used in mathematics.In this paper,according to the nonexistence of differentiable functions,the differentiable solutions of a class of iterative equations are discussed,and the conditions of nonexistence of differentiable solutions are obtained.Based on the basic concepts of fixed point,mapping and three related lemmas,three decision theorems were obtained.Three cases of fixed point are determined by using the conditions of these three theorems,it was shown that the differentiable function does not exist.

关 键 词：迭代 可微性解 不动点 

分 类 号：O174[理学—数学]