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Generalized Almost Periodicity in Lebesgue Spaces with Variable Exponents

Author

Listed:
  • Marko Kostić

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

  • Wei-Shih Du

    (Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan)

Abstract

In this paper, we introduce and analyze Stepanov uniformly recurrent functions, Doss uniformly recurrent functions and Doss almost-periodic functions in Lebesgue spaces with variable exponents. We investigate the invariance of these types of generalized almost-periodicity in Lebesgue spaces with variable exponents under the actions of convolution products, providing also some illustrative applications to the abstract semilinear integro-differential inclusions in Banach spaces.

Suggested Citation

  • Marko Kostić & Wei-Shih Du, 2020. "Generalized Almost Periodicity in Lebesgue Spaces with Variable Exponents," Mathematics, MDPI, vol. 8(6), pages 1-21, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:928-:d:368046
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    References listed on IDEAS

    as
    1. M. Ayachi & J. Blot, 2008. "Variational Methods for Almost Periodic Solutions of a Class of Neutral Delay Equations," Abstract and Applied Analysis, Hindawi, vol. 2008, pages 1-13, February.
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    Cited by:

    1. Marko Kostić & Wei-Shih Du, 2020. "Generalized Almost Periodicity in Lebesgue Spaces with Variable Exponents, Part II," Mathematics, MDPI, vol. 8(7), pages 1-26, June.
    2. Marko Kostić & Wei-Shih Du & Vladimir E. Fedorov, 2021. "Doss ρ -Almost Periodic Type Functions in R n," Mathematics, MDPI, vol. 9(21), pages 1-27, November.
    3. Wei-Shih Du & Chung-Chuan Chen & Marko Kostić & Bessem Samet, 2023. "Preface to the Special Issue “Fixed Point Theory and Dynamical Systems with Applications”," Mathematics, MDPI, vol. 11(13), pages 1-2, June.

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