Научный архив: статьи

The main purpose of this paper is to revisit the recently analyzed class of multidimensional Stepanov almost periodic functions. We introduce and study several new classes of Stepanov-like almost periodic functions in the mixed Lebesgue spaces. We also provide a new application of multi-dimensional Stepanov almost periodic functions to the abstract nonautonomous differential equations of first order, provided that all components of the exponent p_ ∈ [1, ∞)n are equal.