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

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 conju...

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Bibliographic Details
Published inMathematics (Basel) Vol. 11; no. 7; p. 1667
Main Authors Bensalem, Abdelhamid, Salim, Abdelkrim, Benchohra, Mouffak, Fečkan, Michal
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.04.2023
Subjects
approximate controllability
Banach spaces
Cauchy problems
Controllability
Differential equations
fixed point theorem
Fixed point theory
Fixed points (mathematics)
Food science
infinite delay
Integral equations
integrodifferential equation
Mathematical analysis
Mathematical research
measures of noncompactness
neutral system
Slovakia
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ISSN2227-7390
2227-7390
DOI10.3390/math11071667

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Summary: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.
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ISSN:2227-7390
2227-7390
DOI:10.3390/math11071667