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Stability of unique pseudo almost periodic solutions with measure

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Abstract

By means of the fixed-point methods and the properties of the μ-pseudo almost periodic functions, we prove the existence, uniqueness, and exponential stability of the μ-pseudo almost periodic solutions for some models of recurrent neural networks with mixed delays and time-varying coefficients, where μ is a positive measure. A numerical example is given to illustrate our main results.

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Authors and Affiliations

  1. Faculty of Sciences, University of Gafsa, Route de Tozeur-2112, Gafsa, Tunisia

    Boulbaba Ghanmi

  2. Preparatory Institute for Engineering Studies of Kairouan, University of Kairouan, Route périphérique Dar El Amen, 3100, Kairouan, Tunisia

    Mohsen Miraoui

Authors
  1. Boulbaba Ghanmi
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  2. Mohsen Miraoui
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Correspondence to Mohsen Miraoui.

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Ghanmi, B., Miraoui, M. Stability of unique pseudo almost periodic solutions with measure. Appl Math 65, 421–445 (2020). https://doi.org/10.21136/AM.2020.0252-19

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  • DOI: https://doi.org/10.21136/AM.2020.0252-19

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