Controllability of Semilinear Differential Systems with Nonlocal Initial Conditions in Banach Spaces

被引：62

作者：

Chang, Y. K. ^{[1
]}

Nieto, J. J. ^{[2
]}

Li, W. S. ^{[1
]}

机构：

[1] Lanzhou Jiaotong Univ, Dept Math, Lanzhou 730070, Gansu, Peoples R China

[2] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2009年 / 142卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Controllability; Differential systems; Nonlocal initial conditions; Fixed points; EVOLUTION-EQUATIONS; INFINITE DELAY; INCLUSIONS; EXISTENCE;

D O I：

10.1007/s10957-009-9535-2

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this note, we establish a sufficient condition for the controllability of a first-order semilinear differential system with nonlocal initial conditions in Banach spaces. The approach used is the Sadovskii fixed-point theorem combined with operator semigroups. Particularly, the compactness of the operator semigroups is not needed in this article.

引用

页码：267 / 273

页数：7

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