Find all real numbers \(\lambda\) and the corresponding functions \(f\) such that the equation

\(\displaystyle \int_0^1 \min(x,y) f(y) \,dy=\lambda f(x)\) has a non-zero solution \(f\) that is continuous on the interval [0,1].

2008-12 Finding eigenvalues and eigenvectors, 5.0 out of 5 based on 1 rating