A PRIORI ESTIMATES FOR OPERATIONAL DIFFERENTIAL-INCLUSIONS

被引：93

作者：

FRANKOWSKA, H

机构：

[1] UNIV PARIS 09,CEREMADE,F-75775 PARIS,FRANCE

[2] INT INST APPL SYST ANAL,A-2361 LAXENBURG,AUSTRIA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1990年 / 84卷 / 01期

关键词：

D O I：

10.1016/0022-0396(90)90129-D

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a set-valued Gronwall lemma and a relaxation theorem for the semilinear differential inclusion x′ ε{lunate} Ax + F(t, x), x(0) = x0, where A is the infinitesimal generator of a C0-semigroup on a separable Banach space X and F: [0, T] × X {mapping} X is a set-valued map. This allows us to investigate infinitesimal generators of reachable sets and variational inclusions. The results are applied to a semilinear optimal control problem with end point constraints. © 1990.

引用

页码：100 / 128

页数：29

共 29 条

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FRANKOWSKA, H
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1989, 27 (01) : 170 - 198

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