Periodicity on isolated time scales. (English) Zbl 07745542
Summary: 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.
{© 2022 Wiley-VCH GmbH}
{© 2022 Wiley-VCH GmbH}
MSC:
| 26E70 | Real analysis on time scales or measure chains |
| 39A06 | Linear difference equations |
| 39A10 | Additive difference equations |
| 39A13 | Difference equations, scaling (\(q\)-differences) |
| 39A23 | Periodic solutions of difference equations |
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