Periodicity on isolated time scales

Martin Bohner, Jaqueline Mesquita and Sabrina Streipert

Mathematische Nachrichten, 2022, vol. 295, issue 2, 259-280

Abstract: In this work, we formulate the definition of periodicity for functions defined on isolated time scales. The introduced definition is consistent with the known formulations in the discrete and quantum calculus settings. Using the definition of periodicity, we discuss the existence and uniqueness of periodic solutions to a family of linear dynamic equations on isolated time scales. Examples in quantum calculus and for mixed isolated time scales are presented.

Date: 2022
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https://doi.org/10.1002/mana.201900360

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