External
The Laplace and Fourier Transforms on Time Scales
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
- Author
- Svetlin G. Georgiev
- Publisher
- Sorbonne University, Paris, France
- Source
- LibreTexts
- License
- CC BY
- Language
- EN
- Category
- Basic Sciences
Contents· 9 sections
- 01: Definition of the Laplace Transform. Properties
- 02: Decay of the Exponential Function
- 03: Convergence of the Laplace Transform
- 04: Inversion of the Laplace Transform
- 05: The Laplace transform of Power Series
- 06: Differentiation of the Laplace Transform
- 07: The Dirac Delta Functional
- 08: The Bilateral Laplace transform
- 09: The Fourier Transform