DIFFERENTIABILITY FOR THE HIGH DIMENSIONAL POLYNOMIAL-LIKE ITERATIVE EQUATION
This paper studies the smoothness of solutions of the higher dimensional polynomial-like iterative equation. The methods given by Zhang Weinian[7] and by Kulczycki M, Tabor J.[3] are improved by constructing a new operator for the structure of the equation in order to apply fixed point theorems. Existence, uniqueness and stability of continuously differentiable solutions are given.
作 者： Li Xiaopei Deng Shengfu 作者单位： Department of Mathematics, Sichuan University, Chengdu 610064, China 刊 名： 数学物理学报（英文版） ISTIC SCI 英文刊名： ACTA MATHEMATICA SCIENTIA 年，卷(期)： 2005 25(1) 分类号： 关键词： Iteration fixed point theorem differentiable solutions existence uniqueness stability