Multi-dimensional $c$-almost periodic type functions and applications

In this paper, we analyze multi-dimensional Bohr $(\mathcal{B},c)$-almost periodic type functions. The main structural characterizations for the introduced classes of Bohr $(\mathcal{B},c)$-almost periodic type functions are established. Several applications of our abstract theoretical results to the abstract Volterra integro-differential equations in Banach spaces are provided, as well.