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

被引：49
|
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.
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页码：499 / 507
页数：9
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