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
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
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页码:183 / 201
页数:19
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