Multi-dimensional cc-almost periodic type functions and applications

preprint2020arXivOpen access

Abstract

In this paper, we analyze multi-dimensional Bohr (B,c)({\mathcal B},c)-almost periodic type functions. The main structural characterizations for the introduced classes of Bohr (B,c)({\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.

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