Controllability of non-autonomous nonlinear differential system with non-instantaneous impulses

被引：25
|
作者：
Malik, Muslim [1 ]
Dhayal, Rajesh [1 ]
Abbas, Syed [1 ]
Kumar, Avadhesh [1 ]
机构：
[1] Indian Inst Technol Mandi, Sch Basic Sci, Kamand 175005, HP, India
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2019年 / 113卷 / 01期
关键词：
Controllability; Non-autonomous differential system; Non-instantaneous impulses; Rothe's fixed point theorem; EXISTENCE; EQUATIONS;
D O I：
10.1007/s13398-017-0454-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we applied the Rothe's fixed point theorem to study the controllability of non-autonomous nonlinear differential system with non-instantaneous impulses in the space Rn. Also, we established the sufficient conditions for the controllability of the integro-differential equation as well as nonlocal problem. Finally, we have given an example to illustrate the application of these proposed results.
引用
收藏
页码：103 / 118
页数：16
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