Approximate controllability of semilinear functional equations in Hilbert spaces

被引：116

作者：

Dauer, JP ^{[1
]}

Mahmudov, NI

机构：

[1] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

[2] Eastern Mediterranean Univ, Dept Math, Mersin 10, Turkey

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 273卷 / 02期

关键词：

approximate controllability; weak approximate controllability; complete controllability; semilinear functional equations; Schauder fixed point theorem; Banach fixed point theorem;

D O I：

10.1016/S0022-247X(02)00225-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper approximate and complete controllability for semilinear functional differential systems is studied in Hilbert spaces. Sufficient conditions are established for each of these types of controllability. The results address the limitation that linear systems in infinite-dimensional spaces with compact semigroup cannot be completely controllable. The conditions are obtained by using the Schauder fixed point theorem when the semigroup is compact and the Banach fixed point theorem when the semigroup is not compact. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：310 / 327

页数：18

共 24 条

[1] CONTROLLABILITY OF NONLINEAR-SYSTEMS VIA FIXED-POINT THEOREMS [J].