Flows associated with irregular Rd-vector fields

被引：30

作者：

Cipriano, F

Cruzeiro, AB

机构：

[1] Grp Fis Matemat, Dep Matemat IST, P-1049001 Lisbon, Portugal

[2] Univ Nova Lisboa, FCT, Dept Matemat, Grupo Fis Matemat, P-1649003 Lisbon, Portugal

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2005年 / 219卷 / 01期

关键词：

ordinary differential equations; non-smooth vector fields;

D O I：

10.1016/j.jde.2005.02.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work consists on the study of flows associated with non-smooth R-d-vector fields, namely concerning existence and uniqueness for almost-every initial condition. It is also proved that the flows avoid some special compact sets. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：183 / 201

页数：19

共 5 条

[1] SUFFICIENT CONDITION FOR THE AVOIDANCE OF SETS BY MEASURE PRESERVING FLOWS IN IRN [J].