DIFFERENTIABILITY FOR THE HIGH DIMENSIONAL POLYNOMIAL-LIKE ITERATIVE EQUATION  

作　　者：李晓培 邓圣福 

机构地区：[1]Deportment of Mathematics Sichuan University, Chengdu 610064, China

出　　处：《Acta Mathematica Scientia》2005年第1期130-136,共7页数学物理学报（B辑英文版）

基　　金：SupportedbyNSFC(10171071)ChinaEducationMinistryResearchGrants.

摘　　要：This paper studies the smoothness of solutions of the higher dimensional polynomial-like iterative equation. The methods given by Zhang Weinian([7]) and by Kulczvcki 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.This paper studies the smoothness of solutions of the higher dimensional polynomial-like iterative equation. The methods given by Zhang Weinian([7]) and by Kulczvcki 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.

关 键 词：ITERATION fixed point theorem differentiable solutions existence UNIQUENESS stability 

分 类 号：O174.14[理学—数学]