数学物理学报(英文版) ›› 2005, Vol. 25 ›› Issue (1): 130-136.

• 论文 • 上一篇    下一篇

DIFFERENTIABILITY FOR THE HIGH DIMENSIONAL POLYNOMIAL-LIKE ITERATIVE EQUATION

李晓培,邓圣福   

  1. Department of Mathematics, Sichuan University
  • 出版日期:2005-01-20 发布日期:2005-01-20
  • 基金资助:

    Supported by NSFC(10171071) and China Education Ministry Research
    Grants.

DIFFERENTIABILITY FOR THE HIGH DIMENSIONAL POLYNOMIAL-LIKE ITERATIVE EQUATION

 LI Xiao-Pei, DENG Ku-Fu   

  1. Department of Mathematics, Sichuan University
  • Online:2005-01-20 Published:2005-01-20
  • Supported by:

    Supported by NSFC(10171071) and China Education Ministry Research
    Grants.

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 Kul-
czycki 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.

Abstract:

This paper studies the smoothness of solutions of the higher dimensional
polynomial-like iterative equation. The methods given by Zhang Weinian[7] and by Kul-
czycki 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.

Key words: Iteration;fixed point theorem, differentiable solutions, existence;uniqueness;stability

中图分类号: 

  • 39B12