Murat Adıvar
Published 2010-12-09, updated 2012-01-04Version 3
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 $t\in\mathbb{T}$", unlike the existing literature. Therefore, the results of this paper open an avenue for the investigation of periodic solutions of $q$-difference equations.
Comments: 11 pages, Accepted for publication in Mathematica Slovaca, Vol 63, 2013
Symmetric Quantum Calculus
Existence of solutions for dynamic inclusions on time scales via duality
On uniqueness of the Laplace transform on time scales
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