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On the Differential Equations with Piecewise Constant Argument

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Abstract

In this paper, we introduce a concept of pseudo \(\mathcal {S}\)-asymptotically ω-periodic (PSAPω) solutions, we establish some new composition theorems. By using the roughness theory of exponential dichotomies and the contraction mapping, some sufficient conditions are obtained for the existence and uniqueness of PSAPω solutions (abbreviated in EPCA) for some difference and differential equations with piecewise constant argument.

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Acknowledgements

The authors would like to express their thanks to the editor and anonymous referees for his/her suggestions and comments that improved the quality of the paper.

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Authors and Affiliations

  1. Department of Mathematics, LMDP, University Cadi Ayyad, PO BOX 2390, Marrakech, Morocco

    Elhadi Ait Dads

  2. Sorbonne University, 8 (ED130) UMMISCO. IRD Bondy, Paris, France

    Elhadi Ait Dads

  3. University of Sfax, Sfax, Tunisia

    Safoua Khelifi

  4. University of Kairouan, Kairouan, Tunisia

    Mohsen Miraoui

Authors
  1. Elhadi Ait Dads
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  2. Safoua Khelifi
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  3. Mohsen Miraoui
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Correspondence to Mohsen Miraoui.

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Dads, E.A., Khelifi, S. & Miraoui, M. On the Differential Equations with Piecewise Constant Argument. J Dyn Control Syst 29, 1251–1269 (2023). https://doi.org/10.1007/s10883-022-09633-x

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  • DOI: https://doi.org/10.1007/s10883-022-09633-x

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