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

被引：7

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

页码：857 / 883

页数：27

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