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Weighted Stepanov-Like Pseudo Almost Periodicity on Time Scales and Applications

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Abstract

By using the measure theory on time scales, we extend the notion of weighted Stepanov-like pseudo almost periodicity to time scales and study some of its basic properties. To illustrate our abstract results, we study the existence and uniqueness of weighted pseudo almost periodic solutions to some classes of nonautonomous dynamic equations involving weighted Stepanov-like pseudo almost periodic forcing terms on time scales.

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Authors and Affiliations

  1. MACS Laboratory, Department of Mathematics, Faculty of Sciences, Moulay Ismaïl University, Meknes, Morocco

    Mohssine Es-saiydy & Mohamed Zitane

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  1. Mohssine Es-saiydy
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  2. Mohamed Zitane
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Correspondence to Mohamed Zitane.

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Es-saiydy, M., Zitane, M. Weighted Stepanov-Like Pseudo Almost Periodicity on Time Scales and Applications. Differ Equ Dyn Syst 31, 869–893 (2023). https://doi.org/10.1007/s12591-020-00543-7

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