Electronic Journal of Differential Equations, Vol. 2022 (2022), No. 45, pp. 1-21.

Title: Multi-dimensional c-almost periodic type functions and applications
       
Author: Marko Kostic (Univ. of Novi Sad, Serbia)

Abstract:
In this article, we analyze multi-dimensional Bohr (B,c)-almost
periodic type functions. The main structural characterizations for the introduced
classes of Bohr (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.

Submitted Janaury 15, 2021. Published July 02, 2022.
Math Subject Classifications: 42A75, 43A60, 47D99.
Key Words: Bohr (B,c)-almost periodic type functions;
          (B,c)-uniformly recurrent type functions;
          abstract Volterra integro-differential equations.