Cr convergence of Picard's successive approximations

被引：5

作者：

Izzo, AJ ^{[1
]}

机构：

[1] Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 07期

关键词：

D O I：

10.1090/S0002-9939-99-04801-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A simple, elementary proof of the existence, uniqueness, and smoothness of solutions to ordinary differential equations is given. In fact, it is shown that for a differential equation of class C-r, the successive approximations of Picard converge in the C-r-sense.

引用

页码：2059 / 2063

页数：5