APPROXIMATE CONTROLLABILITY OF SEMILINEAR SYSTEMS USING INTEGRAL CONTRACTORS

被引：25

作者：

GEORGE, RK ^{[1
]}

机构：

[1] INDIAN INST SCI,DEPT MATH,BANGALORE 560012,KARNATAKA,INDIA

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1995年 / 16卷 / 1-2期

关键词：

D O I：

10.1080/01630569508816609

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, a non-autonomous (time-varying) semilinear system is considered and its approximate controllability is investigated. The notion of 'bounded integral contractor', introduced by Altman, has been exploited to obtain sufficient conditions for approximate controllability. This condition is weaker than Lipschitz condition. The main theorems of Naito [11, 12] are obtained as corollaries of our main results. An example is also given to show how our results weaken the conditions assumed by Sukavanam[17].

引用

页码：127 / 138

页数：12

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