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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| Published in | Mathematics (Basel) Vol. 11; no. 7; p. 1667 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Basel
MDPI AG
01.04.2023
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| ISSN | 2227-7390 2227-7390 |
| DOI | 10.3390/math11071667 |
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| Abstract | 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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| AbstractList | 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. |
| Audience | Academic |
| Author | Bensalem, Abdelhamid Fečkan, Michal Salim, Abdelkrim Benchohra, Mouffak |
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| Cites_doi | 10.1016/0022-247X(84)90044-1 10.1016/j.ajmsc.2018.11.002 10.1007/978-1-4612-5561-1 10.1137/S0363012901391688 10.3934/dcdss.2022005 10.11650/twjm/1500406016 10.1016/j.amc.2014.09.084 10.3390/math10071120 10.1016/j.nahs.2009.01.014 10.3390/fractalfract6100615 10.1016/j.aml.2017.02.019 10.3390/sym14081655 10.1007/s12190-016-1025-8 10.2298/AADM1702340D 10.1007/BFb0084432 10.3390/axioms11070308 10.1080/00207178008961084 10.1090/S0002-9947-1982-0664046-4 10.1007/s00009-015-0547-x 10.1007/s12346-022-00718-3 10.1515/dema-2020-0029 10.1007/978-1-4612-4224-6 10.1137/S036301299732184X |
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| SubjectTerms | 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 |
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| Title | Approximate Controllability of Neutral Functional Integro-Differential Equations with State-Dependent Delay and Non-Instantaneous Impulses |
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