Approximate controllability results for abstract neutral integro-differential inclusions with infinite delay in Hilbert spaces

被引：51
|
作者：
Vijayakumar, V. [1 ]
机构：
[1] Info Inst Engn, Dept Math, Coimbatore 641107, Tamil Nadu, India
来源：
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2018年 / 35卷 / 01期
关键词：
approximate controllability; integro-differential equations; neutral equations; resolvent operator; multivalued map; STATE-DEPENDENT DELAY; FUNCTIONAL-DIFFERENTIAL EQUATIONS; UNBOUNDED DELAY; PERIODIC SOLUTIONS; EXISTENCE; SYSTEMS;
D O I：
10.1093/imamci/dnw049
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we consider a class of abstract neutral integro-differential inclusions with infinite delay in Hilbert spaces. We establishes a set of sufficient conditions for the approximate controllability for a class of abstract neutral integro-differential inclusions with infinite delay in Hilbert spaces by using Bohnenblust-Karlin's fixed point theorem. An example is also given to illustrate our main results.
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页码：297 / 314
页数：18
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