高维空间上包含n次迭代的Feigenbaum型泛函方程的C^1解

The C^1 Solution of Feigenbaum Type Functional Equation with nIteration on High-dimensional Space

本文利用矩阵分析的相关理论,Schauder不动点定理及banach不动点定理,自同胚和紧凸子集的相关性质研究了高维空间上包含n次迭代的Feigenbaum型泛函方程的连续可微解的存在性、唯一性及稳定性.

In this paper,by using the related theory of matrix analysis,Schauder fixed point theorem and Banach fixed point theorem,also the related properties of the homeomorphism,the existence,unique-ness and stability of the continuously differentiable solution of Feigenbaum type functional equation withn iteration on high-dimensional space are researched.