An application of the fixed point theorem to the inverse Sturm-Liouville problem

Dmitry Chelkak

We consider Sturm-Liouville operators $-y^{\prime \prime }+v(x)y$ on $[0,1]$ with Dirichlet boundary conditions $y(0)=y(1)=0$. For any $1\le p<\infty$, we give a short proof of the characterizati…