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arXiv · 2107.02910

Remotely $c$-almost periodic type functions in ${\mathbb R}^{n}$

Marko Kostic·Vipin Kumar
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Abstract

In this paper, we relate the notions of remote almost periodicity and quasi-asymptotical almost periodicity; in actual fact, we observe that a remotely almost periodic function is nothing else but a bounded, uniformly continuous quasi-asymptotically almost periodic function. We introduce and analyze several new classes of remotely $c$-almost periodic functions in ${\mathbb R}^{n},$ slowly oscillating functions in ${\mathbb R}^{n},$ and further analyze the recently introduced class of quasi-asymptotically $c$-almost periodic functions in ${\mathbb R}^{n}.$ We provide certain applications of our theoretical results to the abstract Volterra integro-differential equations and the ordinary differential equations.

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BibTeXRIS

Marko Kostic, Vipin Kumar. 2021-07-05. Remotely $c$-almost periodic type functions in ${\mathbb R}^{n}$. https://arxiv.org/abs/2107.02910

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