Averaging of Differential Inclusions

被引：3

作者：

Klimov, V. S. ^{[1
]}

机构：

[1] Yaroslavl State Univ, Yaroslavl, Russia

来源：

DIFFERENTIAL EQUATIONS | 2008年 / 44卷 / 12期

关键词：

Cauchy Problem; Compact Subset; Differential Inclusion; Admissible Pair; Nonempty Convex Subset;

D O I：

10.1134/S0012266108120033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a version of the Krasnosel'skii-Krein theorem for differential inclusions with multimappings satisfying certain one-sided constraints. As a corollary. we obtain an analog of the first Bogolyubov theorem for the inclusion 0 is an element of x' + epsilon F(t,x).

引用

页码：1673 / 1681

页数：9

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