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Stepanov-Like Pseudo-Almost Periodic Functions in Lebesgue Spaces with Variable Exponents L p(x)

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New Frontiers of Multidisciplinary Research in STEAM-H (Science, Technology, Engineering, Agriculture, Mathematics, and Health)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 90))

Abstract

In this paper we introduce and study a new class of functions called Stepanov-like pseudo-almost periodic spaces with variable exponents, which generalizes in a natural way the space of Stepanov-like pseudo-almost periodic spaces. Basic properties of these new spaces are established. The existence of pseudo-almost periodic solutions to some first-order differential equations with S p, q(x)-pseudo-almost periodic coefficients will also be studied.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Howard University, 2441 6th Street N.W., Washington DC, 20059, USA

    Toka Diagana

  2. Department of Mathematics, Laboratory of An. Math and NCG, Faculty of Science, Ibn Tofaïl University, Kenitra, Morocco

    Mohamed Zitane

Authors
  1. Toka Diagana
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  2. Mohamed Zitane
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Corresponding author

Correspondence to Toka Diagana .

Editor information

Editors and Affiliations

  1. Dept of Mathematics & Computer Sciences, Virginia State University, Petersburg, Virginia, USA

    Bourama Toni

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Diagana, T., Zitane, M. (2014). Stepanov-Like Pseudo-Almost Periodic Functions in Lebesgue Spaces with Variable Exponents L p(x) . In: Toni, B. (eds) New Frontiers of Multidisciplinary Research in STEAM-H (Science, Technology, Engineering, Agriculture, Mathematics, and Health). Springer Proceedings in Mathematics & Statistics, vol 90. Springer, Cham. https://doi.org/10.1007/978-3-319-07755-0_13

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