A new periodicity concept for time scales

By Murat Adıvar. 2010

67 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Mathematical Physics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/54a609368b35acac3639d56dc8a49657eaa1a4b0