Approximate Controllability of Neutral Functional Integro-Differential Equations with State-Dependent Delay and Non-Instantaneous Impulses

被引：2

作者：

Bensalem, Abdelhamid ^{[1
]}

Salim, Abdelkrim ^{[1
,2
]}

Benchohra, Mouffak ^{[1
]}

Feckan, Michal ^{[3
,4
]}

机构：

[1] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria

[2] Hassiba Benbouali Univ Chlef, Fac Technol, POB 151, Chlef 02000, Algeria

[3] Comenius Univ, Fac Math Phys & Informat, Dept Math Anal & Numer Math, Bratislava 84248, Slovakia

[4] Slovak Acad Sci, Math Inst, Stefanikova 49, Bratislava 81473, Slovakia

来源：

MATHEMATICS | 2023年 / 11卷 / 07期

关键词：

approximate controllability; fixed point theorem; infinite delay; integrodifferential equation; neutral system; measures of noncompactness; mild solution; resolvent operator; SYSTEMS; EXISTENCE;

D O I：

10.3390/math11071667

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this manuscript, we investigate the issue of approximate controllability for a certain class of abstract neutral integro-differential equations having non-instantaneous impulsions and being subject to state-dependent delay. Our methodology relies on the utilization of resolvent operators in conjunction with Darbo's fixed point theorem. To exemplify the practical implications of our findings, we provide an illustration.

引用

页数：17

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