Zitane, MohamedEs-saiydy, Mohssine2024-07-122024-07-122019Zitane, M. ve Es-saiydy, M. (2019). Weighted stepanov pseudo almost periodic functions on time scales. International Conference of Mathematical Sciences (ICMS 2019). s. 46.https://hdl.handle.net/20.500.12415/2101In 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.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessWeighted pseudo almost periodicityTime scalesArticle4646