DIFFERENTIABILITY FOR THE HIGH DIMEN

時(shí)間:2023-04-28 04:14:37 數(shù)理化學(xué)論文 我要投稿
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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(shù)學(xué)物理學(xué)報(bào)(英文版)  ISTIC SCI 英文刊名: ACTA MATHEMATICA SCIENTIA  年,卷(期): 2005 25(1)  分類(lèi)號(hào):   關(guān)鍵詞: Iteration   fixed point theorem   differentiable solutions   existence   uniqueness   stability  

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