$(\omega,c)$-Almost periodic type functions and applications

Abstract

In this paper, we introduce several various classes of $(\omega,c)$-almost periodic type functions and their Stepanov generalizations.

We also consider the corresponding classes of $(\omega,c)$-almost periodic type functions

depending on two variables and related composition principles.

We provide several illustrative examples and applications to

the abstract Volterra integro-differential equations in Banach spaces.