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J. G. Si, W. N. Zhang. Analytic solutions of a class of iterative functional differential equation. Journal of Computational and Applied Mathematics, 2004, 162(2): 467-481.

被以下文章引用:

• 标题: 一类迭代泛函微分方程的光滑解Smooth Solutions of an Iterative Functional Differential Equation

  作者: 赵侯宇

  关键字: 迭代泛函微分方程, 光滑解, Faà di Bruno公式, 不动点定理Iterative Functional Differential Equation; Smooth Solutions; Faà di Bruno’s Formula; Fixed Point Theorem

  期刊名称: 《Pure Mathematics》, Vol.2 No.3, 2012-07-27

  摘要: 本文利用Faà di Bruno公式及Schauder不动点定理，证明了一类迭代泛函微分方程的光滑解的存在性和唯一性。 By Faà di Bruno’s formula, using Schauder fixed point theorem, we study the existence and uniqueness of smooth solutions of an iterative functional differential equation .