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Generalized Almost Periodicity in Lebesgue Spaces with Variable Exponents, Part II

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 several different notions of almost periodic type functions and uniformly recurrent type functions in Lebesgue spaces with variable exponent L p ( x ) . We primarily consider the Stepanov and Weyl classes of generalized almost periodic type functions and generalized uniformly recurrent type functions. We also investigate the invariance of generalized almost periodicity and generalized uniform recurrence with variable exponents under the actions of convolution products, providing also some illustrative applications to the abstract fractional differential inclusions in Banach spaces.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1052-:d:378244
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    References listed on IDEAS

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    1. Marko Kostić & Wei-Shih Du, 2020. "Generalized Almost Periodicity in Lebesgue Spaces with Variable Exponents," Mathematics, MDPI, vol. 8(6), pages 1-21, June.
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    Cited by:

    1. 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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    1. 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.
    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.

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