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Pseudo-Almost Periodic Solutions in the Alpha-Norm and in Stepanov’s Sense for some Evolution Equations

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Ukrainian Mathematical Journal Aims and scope

Our aim is to introduce the concept of double-measure ergodic and double-measure pseudo-almost periodic functions in Stepanov’s sense. In addition, we present numerous interesting results, such as the composition theorems and completeness properties, for these two spaces of considered functions. We also establish the existence and uniqueness for double-measure pseudo-almost periodic mild solutions in Stepanov’s sense for some evolution equations.

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Author information

Authors and Affiliations

  1. Business Administration Department, College of Business Administration, Majmaah University, Al Majma’ah, Saudi Arabia

    A. Rebey

  2. ISMAIK, Kairouan University, Kairouan, Tunisia

    A. Rebey & M. Miraoui

  3. Mathematics Department, College of Science Al-Zulfi, Majmaah University, Al Majma’ah, Saudi Arabia

    H. Ben-Elmonser

  4. IPEIM, Monastir University, Monastir, Tunisia

    M. Eljeri

Authors
  1. A. Rebey
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  2. H. Ben-Elmonser
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  3. M. Eljeri
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  4. M. Miraoui
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Corresponding author

Correspondence to M. Miraoui.

Additional information

Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 10, pp. 1401–1415, October, 2022. Ukrainian DOI: https://doi.org/10.37863/umzh.v74i10.6315.

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Rebey, A., Ben-Elmonser, H., Eljeri, M. et al. Pseudo-Almost Periodic Solutions in the Alpha-Norm and in Stepanov’s Sense for some Evolution Equations. Ukr Math J 74, 1599–1616 (2023). https://doi.org/10.1007/s11253-023-02157-y

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  • DOI: https://doi.org/10.1007/s11253-023-02157-y

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