Analysis on Controllability Results for Wellposedness of Impulsive Functional Abstract Second-Order Differential Equation with State-Dependent Delay

被引：1
作者：
Karthikeyan, Kulandhivel [1 ]
Tamizharasan, Dhatchinamoorthy [2 ]
Chalishajar, Dimplekumar N. [3 ]
机构：
[1] KPR Inst Engn & Technol, Ctr Res & Dev, Dept Math, Coimbatore 641048, Tamil Nadu, India
[2] KS Rangasamy Coll Technol, Dept Math, Namakkal 641048, Tamil Nadu, India
[3] Virginia Mil Inst, Dept Appl Math, 435 Mallory Hall, Lexington, VA 24450 USA
来源：
AXIOMS | 2021年 / 10卷 / 03期
关键词：
impulsive condition; cosine families; state dependent delay; wellposedness; controllability condition; APPROXIMATE CONTROLLABILITY; EVOLUTION SYSTEMS; EXISTENCE; PARAMETERS; INCLUSIONS; DISCRETE; DYNAMICS; RESPECT; MODEL;
D O I：
10.3390/axioms10030188
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The functional abstract second order impulsive differential equation with state dependent delay is studied in this paper. First, we consider a second order system and use a control to determine the controllability result. Then, using Sadovskii's fixed point theorem, we get sufficient conditions for the controllability of the proposed system in a Banach space. The major goal of this study is to demonstrate the controllability of an abstract second-order impulsive differential system with a state dependent delay mechanism. The wellposed condition is then defined. Next, we studied whether the defined problem is wellposed. Finally, we apply our results to examine the controllability of the second order state dependent delay impulsive equation.
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收藏
页数：15
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