New composition theorem for weighted Stepanov-like pseudo almost periodic functions on time scales and applications

Abstract

First, we show a new composition theorem for both Stepanov almost periodic functions and for weighted Stepanov-like pseudo almost periodic functions on time scales. Next, under some suitable assumptions, we study the existence and uniqueness of weighted pseudo almost periodic solutions to some first-order dynamic equations on time scales with weighted Stepanov-like pseudo almost periodic coefficients.

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Author Biographies

Mohssine Es-Saiydy, Moulay Ismaïl University

Department of Mathematics

Mohamed Zitane, Moulay Ismaïl University

Department of Mathematics

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Published
2022-12-23
Section
Articles