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.

引用

页码：215 / 227

页数：13

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