Unbounded perturbation of the controllability for evolution equations

被引：16
|
作者：
Leiva, H [1 ]
机构：
[1] Georgia Tech, CDSNS, Sch Math, Atlanta, GA 30332 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 280卷 / 01期
关键词：
evolution equations; controllability; perturbation principle;
D O I：
10.1016/S0022-247X(02)00317-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove that the controllability for evolution equations in Banach spaces is not destroyed, if we perturb the equation by "small" unbounded linear operator. This is done by employing a perturbation principle from linear operator theory and a characterization of sunjective operators in Banach spaces. Finally, we apply these to a control system governed by partial integro-differential equations. (C) 2003 Elsevier Science (USA). All rights reserved.
引用
收藏
页码：1 / 8
页数：8
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