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   作者單位： Department of Mathematics, Sichuan University, Chengdu 610064, China  刊 名： 數學物理學報（英文版）  ISTIC SCI 英文刊名： ACTA MATHEMATICA SCIENTIA  年，卷(期)： 2005 25(1)  分類號：   關鍵詞： Iteration   fixed point theorem   differentiable solutions   existence   uniqueness   stability  

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