Nonlocal controllability of mild solutions for neutral evolution equations with state-dependent delay in Fréchet spaces
In this paper, we prove the controllability of mild solutions of neutral functional evolution equations with state-dependent delay and nonlocal conditions. We establish the non local controllability of mild solutions under certain conditions by combining Avramescu’s nonlinear alternative for the sum...
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2024-03-01
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| Series: | Archives of Control Sciences |
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| Online Access: | https://journals.pan.pl/Content/130792/art07_int.pdf |
| _version_ | 1797234842378698752 |
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| author | Chahrazed Boudefla Selma Baghli-Bendimerad |
| author_facet | Chahrazed Boudefla Selma Baghli-Bendimerad |
| author_sort | Chahrazed Boudefla |
| collection | DOAJ |
| description | In this paper, we prove the controllability of mild solutions of neutral functional evolution equations with state-dependent delay and nonlocal conditions. We establish the non local controllability of mild solutions under certain conditions by combining Avramescu’s nonlinear alternative for the sum of compact and contraction operators in Fréchet spaces with semigroup theory. |
| first_indexed | 2024-04-24T16:38:29Z |
| format | Article |
| id | doaj.art-844c9d20dc2c4db1a7abbae763eb0eb7 |
| institution | Directory Open Access Journal |
| issn | 1230-2384 |
| language | English |
| last_indexed | 2024-04-24T16:38:29Z |
| publishDate | 2024-03-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Control Sciences |
| spelling | doaj.art-844c9d20dc2c4db1a7abbae763eb0eb72024-03-29T11:32:19ZengPolish Academy of SciencesArchives of Control Sciences1230-23842024-03-01vol. 34No 1117148https://doi.org/10.24425/acs.2024.149655Nonlocal controllability of mild solutions for neutral evolution equations with state-dependent delay in Fréchet spacesChahrazed Boudefla0https://orcid.org/0000-0003-4805-3307Selma Baghli-Bendimerad1https://orcid.org/0000-0003-4397-8300Po. Box 89, Laboratory of Mathematics, Djillali LiabesUniversity of Sidi Bel-Abbès 22000, AlgeriaPo. Box 89, Laboratory of Mathematics, Djillali LiabesUniversity of Sidi Bel-Abbès 22000, AlgeriaIn this paper, we prove the controllability of mild solutions of neutral functional evolution equations with state-dependent delay and nonlocal conditions. We establish the non local controllability of mild solutions under certain conditions by combining Avramescu’s nonlinear alternative for the sum of compact and contraction operators in Fréchet spaces with semigroup theory.https://journals.pan.pl/Content/130792/art07_int.pdfneutral evolution equationsmild solutioncontrollabilityinfinite delaystatedependent delaynonlocal conditionsfixed pointnonlinear alternativesemigroup theoryfréchet spaces |
| spellingShingle | Chahrazed Boudefla Selma Baghli-Bendimerad Nonlocal controllability of mild solutions for neutral evolution equations with state-dependent delay in Fréchet spaces Archives of Control Sciences neutral evolution equations mild solution controllability infinite delay statedependent delay nonlocal conditions fixed point nonlinear alternative semigroup theory fréchet spaces |
| title | Nonlocal controllability of mild solutions for neutral evolution equations with state-dependent delay in Fréchet spaces |
| title_full | Nonlocal controllability of mild solutions for neutral evolution equations with state-dependent delay in Fréchet spaces |
| title_fullStr | Nonlocal controllability of mild solutions for neutral evolution equations with state-dependent delay in Fréchet spaces |
| title_full_unstemmed | Nonlocal controllability of mild solutions for neutral evolution equations with state-dependent delay in Fréchet spaces |
| title_short | Nonlocal controllability of mild solutions for neutral evolution equations with state-dependent delay in Fréchet spaces |
| title_sort | nonlocal controllability of mild solutions for neutral evolution equations with state dependent delay in frechet spaces |
| topic | neutral evolution equations mild solution controllability infinite delay statedependent delay nonlocal conditions fixed point nonlinear alternative semigroup theory fréchet spaces |
| url | https://journals.pan.pl/Content/130792/art07_int.pdf |
| work_keys_str_mv | AT chahrazedboudefla nonlocalcontrollabilityofmildsolutionsforneutralevolutionequationswithstatedependentdelayinfrechetspaces AT selmabaghlibendimerad nonlocalcontrollabilityofmildsolutionsforneutralevolutionequationswithstatedependentdelayinfrechetspaces |