Hm, timescales seem a very interesting topic.
Its about unification of difference and differential equation.
This is a (imo) very good introduction/tutorial.
I am not sure about this. I mean we have a kinda difference equation for the super exponentiation:
\( \text{sexp}(x+1)=e^{\text{sexp}(x)} \) or
\( \text{sexp}(x+1)-\text{sexp}(x)=e^{\text{sexp}(x)}-\text{sexp}(x) \).
However perhaps nobody on this forum is so familiar with timescales, to say wether one could directly change this to a differential equation or whatever and get (unique) solutions from there.
Its about unification of difference and differential equation.
This is a (imo) very good introduction/tutorial.
Ivars Wrote:I would like to ask a question is this approach somehow related to iterations of functions, higher operations, or can be related?
I am not sure about this. I mean we have a kinda difference equation for the super exponentiation:
\( \text{sexp}(x+1)=e^{\text{sexp}(x)} \) or
\( \text{sexp}(x+1)-\text{sexp}(x)=e^{\text{sexp}(x)}-\text{sexp}(x) \).
However perhaps nobody on this forum is so familiar with timescales, to say wether one could directly change this to a differential equation or whatever and get (unique) solutions from there.