MathDB

1

Part of 1977 IMO Shortlist

Problems(1)

Function

Source:

2/21/2006
Find all functions f:Nā†’Nf : \mathbb{N}\rightarrow \mathbb{N} satisfying following condition: f(n+1)>f(f(n)),   \forall n \in \mathbb{N}.
algebraFunctional inequalityfunctional equationIMO 1977IMO ShortlistIMO