A new periodicity concept for time scales
Classical Analysis and ODEs
2012-01-05 v3
Abstract
By means of the shift operators we introduce a new periodicity concept on time scales. This new approach will enable researchers to investigate periodicity notion on a large class of time scales whose members may not satisfy the condition: "there exists a such that for all ", unlike the existing literature. Therefore, the results of this paper open an avenue for the investigation of periodic solutions of -difference equations.
Keywords
Cite
@article{arxiv.1012.2002,
title = {A new periodicity concept for time scales},
author = {Murat Adıvar},
journal= {arXiv preprint arXiv:1012.2002},
year = {2012}
}
Comments
11 pages, Accepted for publication in Mathematica Slovaca, Vol 63, 2013