Controllability of second-order Sobolev-type impulsive delay differential systems

被引：10
|
作者：
Singh, Vikram [1 ]
Pandey, Dwijendra N. [1 ]
机构：
[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 05期
关键词：
controllability; measure of noncompactness; Monch's fixed point theorem; sine and cosine families;
D O I：
10.1002/mma.5427
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study some controllability results for second-order Sobolev-type impulsive integrodifferential systems with finite delay. The results are obtained by using the concepts of measure of noncompactness and Monch's fixed point theorem. Particularly, we consider the damping term y '(center dot) and find a control u such that the mild solution satisfies y(T) = y(T) and y '(T)=yT '. Finally, an application is given to illustrate the obtained results.
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页码：1377 / 1388
页数：12
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