APPROXIMATE CONTROLLABILITY OF A SOBOLEV TYPE IMPULSIVE FUNCTIONAL EVOLUTION SYSTEM IN BANACH SPACES

被引：6
|
作者：
Arora, Sumit [1 ]
Mohan, Manil T. [2 ]
Dabas, Jaydev [1 ]
机构：
[1] Indian Inst Technol Roorkee, Dept Appl Sci & Engn, Roorkee 247667, Uttarakhand, India
[2] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttarakhand, India
来源：
MATHEMATICAL CONTROL AND RELATED FIELDS | 2021年 / 11卷 / 04期
关键词：
Approximate controllability; Impulsive evolution equation; finite delay; Sobolev type equations; Schauder's fixed point theorem; DIFFERENTIAL-EQUATIONS; POPULATION; MODEL;
D O I：
10.3934/mcrf.2020049
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
. In this paper, we investigate the approximate controllability problems of certain Sobolev type differential equations. Here, we obtain sufficient conditions for the approximate controllability of a semilinear Sobolev type evolution system in Banach spaces. In order to establish the approximate controllability results of such a system, we have employed the resolvent operator condition and Schauder's fixed point theorem. Finally, we discuss a concrete example to illustrate the efficiency of the results obtained.
引用
收藏
页码：857 / 883
页数：27
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