Approximate weak invariance for differential inclusions in Banach spaces

被引：5
|
作者：
Carja, O. [1 ,2 ]
Lazu, A. I. [1 ]
机构：
[1] Alexandru Ioan Cuza Univ, Dept Math, Iasi, Romania
[2] Acad Romana, Octav Mayer Math Inst, Bucharest, Romania
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2012年 / 18卷 / 02期
关键词：
Differential inclusion; approximate weak invariance; epsilon-solution; Banach spaces;
D O I：
10.1007/s10883-012-9140-9
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We give here criteria for a given set K to be approximately weakly invariant with respect to approximate or exact solutions of the differential inclusion x'(t) a F(x(t)) in Banach spaces, using the concept of a tangent set to another set. We give an application regarding the Lipschitz dependence of epsilon-solutions upon the initial states.
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页码：215 / 227
页数：13
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