Controllability of second order semi-linear neutral functional differential inclusions in banach spaces

被引：0
|
作者：
George R.K. [1 ]
Chalishajar D.N. [2 ]
Nandakumaran A.K. [3 ]
机构：
[1] Department of Mathematical Sciences, University of Delaware, Delaware
[2] Department of Applied Mathematics, Faculty of Tech. & Eng., M.S. University of Baroda, Vadodara
[3] Department of Mathematics, Indian Institute of Science, Bangalore
来源：
Mediterranean Journal of Mathematics | 2004年 / 1卷 / 4期
关键词：
Controllability; Convex multi-valued map; Evolution inclusion; Fixed point; Initial value problems;
D O I：
10.1007/s00009-004-0024-4
中图分类号：
学科分类号：
摘要：
In this article, we investigate sufficient conditions for controllability of second order semi-linear neutral functional initial value problem for the class of differential inclusions in Banach spaces using the theory of strongly continuous cosine families. We shall rely on a fixed point theorem due to Ma for multi-valued maps. An example is provided to illustrate the result. This work is motivated by the paper of Benchohra, Gorniewicz and Ntouyas [7]. © 2004 Birkhäuser Verlag Basel/Switzerland.
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页码：463 / 477
页数：14
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