机构地区: 中国科学院成都计算机应用研究所
出 处: 《数学进展》 1995年第5期385-405,共21页
摘 要: 本文介绍了单实变量的函数方程的若干新进展,包括迭代根、Schroder方程和多项式型迭代方程的结果。基本内容有:Ⅰ.引言:迭代与相关问题;Ⅱ。迭代根:存在性;Ⅲ唯一性、可微性和分枝;Ⅳ.多项式型迭代根方程。 In this paper some new advances on functional equations in a single real variable are introduced and surveyed,including iterative roots, Schroder’s equation, and iterated equations of polynomial type. The basic contents are listed as follows. Ⅰ.introduction:iteration and related problems;Ⅱ.iterative roots:existence; Ⅲ.iterative roots:uniqueness,differentiability & bifurcation;Ⅳ. iterated equations of polynomial type.