The inverse Sturm-Liouville problem with mixed boundary conditions

Dmitri Chelkak, Evgeny Korotyaev

Consider the operator $H\p=-\p''+q\p=ł\p$, $\p(0)=0$, $\p'(1)+b\p(1)=0$ acting in $L^2(0,1)$, where $q\in L^2(0,1)$ is a real potential. Let ${ł}_n(q,b)$, $n\ge 0$, be the eigenvalue…