On the relationship of C m $C^{m}$ -almost periodicity on R $\mathbb {R}$ and time scales

On the relationship of C m $C^{m}$ -almost periodicity on R $\mathbb {R}$ and time... In this paper, we improve the concept of C m $C^{m}$ -almost periodicity on periodic time scales. The concept is based on the revised definition of almost periodicity introduced by Wang and Agarwal in 2015. A theorem is derived for the relationship of C m $C^{m}$ -almost periodic functions on R $\mathbb {R}$ and C m $C^{m}$ -almost periodic functions on periodic time scales. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Difference Equations Springer Journals

On the relationship of C m $C^{m}$ -almost periodicity on R $\mathbb {R}$ and time scales

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Publisher
Springer International Publishing
Copyright
Copyright © 2018 by The Author(s)
Subject
Mathematics; Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations
eISSN
1687-1847
D.O.I.
10.1186/s13662-018-1549-3
Publisher site
See Article on Publisher Site

Abstract

In this paper, we improve the concept of C m $C^{m}$ -almost periodicity on periodic time scales. The concept is based on the revised definition of almost periodicity introduced by Wang and Agarwal in 2015. A theorem is derived for the relationship of C m $C^{m}$ -almost periodic functions on R $\mathbb {R}$ and C m $C^{m}$ -almost periodic functions on periodic time scales.

Journal

Advances in Difference EquationsSpringer Journals

Published: Mar 14, 2018

References

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