三阶迭代函数方程的反转解
Reversible Solutions of 3-rd Iterative Equation
DOI: 10.12677/AAM.2020.99169, PDF,    科研立项经费支持
作者: 任 河, 张萍萍：滨州学院理学院，山东 滨州
关键词: 反转性；对合；同胚；迭代；Reversibility； Involution； Homeomorphism； Iteration
摘要: 本文主要研究三阶齐次迭代方程的反转解存在性及其构造。借助一个平移变换，也给出了对应的非齐次迭代方程的反转解，并举例说明。
Abstract: In this paper, we give a description of the reversible solutions for a 3-rd iterative equation. By the same method and a translational transformation, we also illustrate the reversible solutions of the related nonhomogeneous equation. Our results are illustrated by examples.
文章引用：任河, 张萍萍. 三阶迭代函数方程的反转解[J]. 应用数学进展, 2020, 9(9): 1436-1443. https://doi.org/10.12677/AAM.2020.99169

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