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理论数学
Vol. 2 No. 3 (July 2012)
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一类迭代泛函微分方程的光滑解
Smooth Solutions of an Iterative Functional Differential Equation
DOI:
10.12677/PM.2012.23022
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作者:
赵侯宇
*
:重庆师范大学数学学院
关键词:
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
摘要:
本文利用
Fa
à
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。
Abstract:
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
.
文章引用:
赵侯宇. 一类迭代泛函微分方程的光滑解[J]. 理论数学, 2012, 2(3): 138-143.
http://dx.doi.org/10.12677/PM.2012.23022
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