MathDB
Functional equation from SRMC

Source: 12th Silk Road Mathematical Competition SRMC2013 Probelm 3

April 7, 2013
functioninequalitiesalgebra unsolvedalgebra

Problem Statement

Find all non-decreasing functions f : N→N f\,:\,\mathbb{N}\to\mathbb{N} , such that f(f(m)f(n)+m)=f(mf(n))+f(m)f(f(m)f(n)+m)=f(mf(n))+f(m)
Back to ProblemsView on AoPS