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 .