Acta mathematica scientia,Series B ›› 2005, Vol. 25 ›› Issue (1): 130-136.

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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.

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

CLC Number: 

  • 39B12
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