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Periodicity on isolated time scales

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  • Martin Bohner
  • Jaqueline Mesquita
  • Sabrina Streipert

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.

Suggested Citation

  • Martin Bohner & Jaqueline Mesquita & Sabrina Streipert, 2022. "Periodicity on isolated time scales," Mathematische Nachrichten, Wiley Blackwell, vol. 295(2), pages 259-280, February.
    • Handle: RePEc:bla:mathna:v:295:y:2022:i:2:p:259-280
    DOI: 10.1002/mana.201900360
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    References listed on IDEAS

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    1. ,, 2004. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 20(2), pages 427-429, April.
    2. ,, 2004. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 20(1), pages 223-229, February.
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