A new periodicity concept for time scales

Year, pages: 2013, 817 - 828

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 $P>0$ such that $t\pm P\in\mathbb{T}$ for all $t\in\mathbb{T}$'', which is being currently used. Therefore, the results of this paper open an avenue for the investigation of periodic solutions of $q$-difference equations and more.

Adivar, M. 2013. A new periodicity concept for time scales. In Mathematica Slovaca, vol. 63, no.4, pp. 817-828. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0127-0

Adivar, M. (2013). A new periodicity concept for time scales. Mathematica Slovaca, 63(4), 817-828. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0127-0