Mu-pseudo almost periodic solutions in Lebesgue spaces with variable exponents

Abstract

The idea to consider the concept of measure pseudo almost periodic oscillation corresponds better to the physical reality since the periodicity is utopic. So, in this research paper, we inform a notion of mu-pseudo-almost periodicity using theoretical measure. Then we study the existence and uniqueness of measure pseudo-almost periodic solutions to some first-order differential equations in Lebesgue spaces with variable exponents.