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Metrical Stepanov Almost Automorphy and Applications

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Abstract

In this paper, we analyze various classes of multi-dimensional Stepanov almost automorphic type functions in general metric. We clarify the main structural properties for the introduced classes of metrically Stepanov almost automorphic type functions, providing also some applications to the abstract Volterra integro-differential equations.

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The datasets used and analyzed during the current study are available from the corresponding author on reasonable request.

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Authors and Affiliations

  1. Lab. de l’Energie et des Systèmes Intelligents, Khemis Miliana University, Khemis Miliana, 44225, Algeria

    Belkacem Chaouchi

  2. Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovića 6, 21125, Novi Sad, Serbia

    Marko Kostić

  3. Department of Engineering Sciences, Izmir Katip Celebi University, 35620, Cigli, Izmir, Turkey

    Halis Can Koyuncuoğlu

Authors
  1. Belkacem Chaouchi
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  2. Marko Kostić
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  3. Halis Can Koyuncuoğlu
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Correspondence to Marko Kostić.

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Communicated by Saeid Maghsoudi

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The second named author is partially supported by grant 451-03-68/2020/14/200156 of Ministry of Science and Technological Development, Republic of Serbia.

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Chaouchi, B., Kostić, M. & Koyuncuoğlu, H.C. Metrical Stepanov Almost Automorphy and Applications. Bull. Iran. Math. Soc. 50, 6 (2024). https://doi.org/10.1007/s41980-023-00840-1

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  • DOI: https://doi.org/10.1007/s41980-023-00840-1

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