On Caratheodory's conditions for the initial value problem

被引：18

作者：

Biles, DC ^{[1
]}

Binding, PA ^{[1
]}

机构：

[1] UNIV CALGARY, DEPT MATH & STAT, CALGARY, AB T2N 1N4, CANADA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 05期

关键词：

D O I：

10.1090/S0002-9939-97-03942-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a local existence theorem of Caratheodory-Goodman type for x(t) = f(t,x(t)) where instead of f(t, alpha) being continuous in alpha we require only that it have no ''downward discontinuities.''

引用

页码：1371 / 1376

页数：6

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