ultimate equation

[tommy1729]

ok maybe the title is exaggerated

but i consider it important in dynamics :

let f be a meromorphic function.

let f1 and f2 be distinct R -> R Coo functions.

let t be positive real.

let f1^[t](0) and f2^[t](0) be strictly increasing functions.

find f , f1 , f2

f^[t](0) = f1^[t](0) + f2^[t](0) i

or prove it doesnt exist.

regards

tommy1729