Hello, I am trying to solve the functional equation below. Can anybody help? I don't expect a solution, but tips on how to do it, tricks or references to usefull books.
The notation is following. Let , all of them parameters of the problem. Then
the problem is to find real-valued function
where is inverse of and
is real-valued function.
I already know
and defining with
that is successive applications of the function converge to