Electron. J. Differential Equations, Vol. 2022 (2022), No. 45, pp. 1-21.

Multi-dimensional c-almost periodic type functions and applications

Marko Kostic

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 2, 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.
DOI: https://doi.org/10.58997/ejde.2022.45

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Marko Kostić
Faculty of Technical Sciences
University of Novi Sad
Trg D. Obradovića 6, 21125 Novi Sad, Serbia
email: marco.s@verat.net

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