A new periodicity concept for time scales

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 P>0 such that t P∈T for all t∈T", unlike the existing literature. Therefore, the results of this paper open an avenue for the investigation of periodic solutions of q-difference equations.

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