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\((\mu _{1},\mu _{2})\)-Pseudo-asymptotically \(\tau \)-periodic function applied to models for differential equations with delays

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Abstract

In this paper, we focus on the \((\mu _{1},\mu _{2})\)-pseudo-asymptotically \(\tau \)-periodicity and its applications. Then, the problems of existence, uniqueness and global exponential stability of \((\mu _{1},\mu _{2})\)-pseudo-asymptotically \(\tau \)-periodic solutions for neural networks with delay are considered. Finally, three examples are given to illustrate the validity of the theoretical results

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Authors and Affiliations

  1. Faculty of Sciences of Bizerte, Department of Mathematics, GAMA, Laboratory LR21ES10, BP W, University of Carthage, 7021, Zarzouna, Bizerte, Tunisia

    Chaouki Aouiti

  2. Faculty of Sciences of Sfax, University of Sfax, Sfax, Tunisia

    Youssef Khemili

  3. Preparatory Institute for Engineering Studies of Kairouan, University of Kairouan, Tunisia, LR11ES53, FSS. University of Sfax, Sfax, Tunisia

    Mohsen Miraoui

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  1. Chaouki Aouiti
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  2. Youssef Khemili
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  3. Mohsen Miraoui
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Correspondence to Chaouki Aouiti.

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Aouiti, C., Khemili, Y. & Miraoui, M. \((\mu _{1},\mu _{2})\)-Pseudo-asymptotically \(\tau \)-periodic function applied to models for differential equations with delays. Comp. Appl. Math. 43, 192 (2024). https://doi.org/10.1007/s40314-024-02712-8

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  • DOI: https://doi.org/10.1007/s40314-024-02712-8

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