TUYMAADA 1995 Problem 7

Find a continuous function $f(x)$ satisfying the identity $f(x)-f(ax)=x^n-x^m$ , where $n,m\in N , 0<a<1$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.