# Time Scales Analysis

- By: Svetlin G. Georgiev
- Publisher: Sorbonne University
- Source: [LibreTexts](https://math.libretexts.org/Courses/Sorbonne_Universite/Time_Scales_Analysis_(Georgiev))
- Licence: [CC BY-NC-SA 4.0](https://creativecommons.org/licenses/by-nc-sa/4.0/)
- Read at LibreTexts: https://math.libretexts.org/Courses/Sorbonne_Universite/Time_Scales_Analysis_(Georgiev)
- PDF: https://downloads.libretexts.org/api/v1/download/math-204789/pdf

Time scale theory was first initiated by Stefan Hilger in 1988 in his PhD thesis to unify both approaches of dynamic modelling: difference and differential equations. Similar ideas have been used before and go back in the introduction of the Riemann-Stieltjes integral which unifies sums and integrals. Many results to differential equations carry over easily to corresponding results for difference equations, while other results seem to be totally different in nature. Because of these reasons, tim