A Study of Controllability of Impulsive Neutral Evolution Integro-Differential Equations with State-Dependent Delay in Banach Spaces

被引：11
|
作者：
Chalishajar, Dimplekumar [1 ]
Anguraj, Annamalai [2 ]
Malar, Kandasamy [3 ]
Karthikeyan, Kulandhivel [4 ]
机构：
[1] Virginia Mil Inst, Dept Appl Math, 435 Mallory Hall, Lexington, VA 24450 USA
[2] PSG Coll Arts & Sci, Dept Math, Coimbatore 641014, Tamil Nadu, India
[3] Erode Arts & Sci Coll, Dept Math, Erode 638009, Tamil Nadu, India
[4] KSR Coll Technol, Dept Math, Tiruchengode 637215, Tamil Nadu, India
来源：
MATHEMATICS | 2016年 / 4卷 / 04期
关键词：
impulsive conditions; controllability; neutral evolution integro-differential equations; resolvent operators; state-dependent delay; FUNCTIONAL-DIFFERENTIAL EQUATIONS; NONLINEAR-SYSTEMS; APPROXIMATE CONTROLLABILITY; EXISTENCE; INCLUSIONS; UNIQUENESS;
D O I：
10.3390/math4040060
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the problem of controllability of impulsive neutral evolution integro-differential equations with state-dependent delay in Banach spaces. The main results are completely new and are obtained by using Sadovskii's fixed point theorem, theory of resolvent operators, and an abstract phase space. An example is given to illustrate the theory.
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页数：16
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