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.
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页码：267 / 273
页数：7
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