APPROXIMATE CONTROLLABILITY OF NON-AUTONOMOUS SOBOLEV TYPE INTEGRO-DIFFERENTIAL EQUATIONS HAVING NONLOCAL AND NON-INSTANTANEOUS IMPULSIVE CONDITIONS

被引：8

作者：

Meraj, Arshi ^{[1
]}

Pandey, Dwijendra N. ^{[1
]}

机构：

[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2020年 / 51卷 / 02期

关键词：

Approximate controllability; Krasnoselskii fixed point theorem; evolution system; non-instantaneous impulsive condition; Sobolev type integro-differential equations; DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

10.1007/s13226-020-0413-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this article is to study approximate controllability of a class of non-autonomous Sobolev type integro-differential equations having non-instantaneous impulses with nonlocal initial condition. The results will be proved with the help of evolution system and Krasnoselskii fixed point theorem. An example is presented to show how our abstract results can be applied.

引用

页码：501 / 518

页数：18

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