Periodic solutions of a class of third-order functional differential equations with iterative source terms

This work deals with a class of third-order differential equations with iterative source terms. Some new results on the existence, uniqueness and continuous dependence of periodic solution for this class are established by virtue of Krasnoselskii’s and Banach’s fixed point theorems and some useful p...

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Veröffentlicht in:Boletín de la Sociedad Matemática Mexicana 2020-07, Vol.26 (2), p.443-458
Hauptverfasser: Bouakkaz, Ahlème, Ardjouni, Abdelouaheb, Khemis, Rabah, Djoudi, Ahcene
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Sprache:eng
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Zusammenfassung:This work deals with a class of third-order differential equations with iterative source terms. Some new results on the existence, uniqueness and continuous dependence of periodic solution for this class are established by virtue of Krasnoselskii’s and Banach’s fixed point theorems and some useful properties of Green’s function. Finally, we present an example to illustrate the effectiveness of our results.
ISSN:1405-213X
2296-4495
DOI:10.1007/s40590-019-00267-x