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

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Abstract

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.

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Acknowledgements

The authors would like to thank the anonymous referee for his/her valuable comments and good advice.

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Authors and Affiliations

  1. Laboratoire LAMAHIS, Département de Mathématiques, Université 20 Août 1955, 21000, Skikda, Algeria

    Ahlème Bouakkaz & Rabah Khemis

  2. Faculty of Sciences and Technology, Department of Mathematics and Informatics, University of Souk Ahras, P.O. Box 1553, 41000, Souk Ahras, Algeria

    Abdelouaheb Ardjouni

  3. Applied Mathematics Lab, Faculty of Sciences, Department of Mathematics, University of Annaba, P.O. Box 12, 23000, Annaba, Algeria

    Abdelouaheb Ardjouni & Ahcene Djoudi

Authors
  1. Ahlème Bouakkaz
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  2. Abdelouaheb Ardjouni
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  3. Rabah Khemis
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  4. Ahcene Djoudi
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Correspondence to Abdelouaheb Ardjouni.

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Bouakkaz, A., Ardjouni, A., Khemis, R. et al. Periodic solutions of a class of third-order functional differential equations with iterative source terms. Bol. Soc. Mat. Mex. 26, 443–458 (2020). https://doi.org/10.1007/s40590-019-00267-x

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  • DOI: https://doi.org/10.1007/s40590-019-00267-x

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