Controllability and stability analysis of an oscillating system with two delays

被引：10
作者：
Shah, Khadija Ali [1 ]
Zada, Akbar [1 ]
机构：
[1] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 18期
关键词：
beta-Hyers-Ulam-Rassias stability; finite time stability; impulsive system; multiple delays; FINITE-TIME STABILITY; STABILIZATION;
D O I：
10.1002/mma.7739
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the current article, controllability and stability analysis of a system of differential equations is investigated. The system is governed by semilinear impulsive differential equations of second order with two delays. Controllability is studied using Rothe's fixed point theory while stability analysis is carried out with the help of Gronwall inequality and some other conditions. Fixed point approach is incorporated in determination of uniqueness of solution.
引用
收藏
页码：14733 / 14765
页数：33
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