STEPANOV LIKE PSEUDO ALMOST AUTOMORPHIC FUNCTIONS IN LEBESGUE SPACES WITH VARIABLE EXPONENTS L
In this article we introduce and study a new class of functions called Stepanov like pseudo almost automorphic functions with variable exponents, which generalizes in a natural way classical Stepanov like pseudo almost automorphic spaces. Basic properties of these new spaces are investigated. The existence of pseudo almost automorphic solutions to some first order differential equations with Sp,q(x) pseudo almost automorphic coefficients will also be studied.