A uniqueness criterion for ordinary differential equations

被引：7

作者：

Constantin, A. ^{[1
]}

机构：

[1] Univ Vienna, Fac Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 342卷

关键词：

Initial value problem; Uniqueness; PARTICLE TRAJECTORIES;

D O I：

10.1016/j.jde.2022.09.035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a convex combination of the Nagumo and Osgood growth conditions for the spatial vari-ation of continuous functions ensures the uniqueness of the solution to the initial-value problem for the associated ordinary differential equation. Moreover, this unique solution is obtained as the uniform limit of the sequence of successive approximations.(c) 2022 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

引用

页码：179 / 192

页数：14

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