Controllability of mixed Volterra-Fredholm-type integro-differential inclusions in Banach spaces

被引：50

作者：

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

Chalishajar, D. N. ^{[2
]}

机构：

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

[2] Gujarat Univ, Dept Appl Math, Sardar Vallabhbhai Patel Inst Technol, Anand 388306, Gujarat, India

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2008年 / 345卷 / 05期

关键词：

controllability; mixed Volterra-Fredholm-type integro-differential inclusions; Bohnenblust-Karlin's fixed point theorem;

D O I：

10.1016/j.jfranklin.2008.02.002

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The paper establishes a sufficient condition for the controllability of semilinear mixed Volterra-Fredholm-type integro-differential inclusions in Banach spaces. We use Bohnenblust-Karlin's fixed point theorem combined with a strongly continuous operator semigroup. Our main condition (A5) only depends upon the local properties of multivalued map on a bounded set. An example is also given to illustrate our main results. (C) 2008 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：499 / 507

页数：9

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