Existence and controllability results to second order neutral differential equation with non-instantaneous impulses

被引：16

作者：

Malik, Muslim ^{[1
]}

Kumar, Avadhesh ^{[1
]}

机构：

[1] Indian Inst Technol Mandi, Sch Basic Sci, Mandi, Himachal Prades, India

来源：

JOURNAL OF CONTROL AND DECISION | 2020年 / 7卷 / 03期

关键词：

Non-instantaneous impulsive system; neutral differential equations; deviated argument; Banach fixed point theorem; controllability; SYSTEMS;

D O I：

10.1080/23307706.2019.1571449

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, existence and uniqueness of the solutions of the second order neutral differential equation with non-instantaneous impulses in a Hilbert space X are studied. This is followed by a brief discussion on the exact and trajectory controllability. Further, the strongly continuous cosine family of linear operators and Banach fixed point theorem are used to establish the results. Finally, an example is given to illustrate the analytical findings.

引用

页码：286 / 308

页数：23

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