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    Weighted stepanov pseudo almost periodic functions on time scales
    (Maltepe Üniversitesi, 2019) Zitane, Mohamed; Es-saiydy, Mohssine
    In this work, by using the measure theory on time scales, we propose a new class of functions called weighted Stepanov-like pseudo almost periodic functions on time scales, which generalize in a natural fashion the class of almost periodic functions and its various extensions. Basic properties of these new functions are studied including a composition result. To illustrate our abstract results, we study the existence and uniqueness of pseudo almost periodic solutions to some classes of nonautonomous differential equations involving weighted S p -pseudo almost periodic forcing terms on time scales.