Indefinite Sturm--Liouville problem for some classes of self-similar singular weights

I. A. Sheipak, A. A. Vladimirov

We study the Sturm-Liouville problem $-y^{\prime \prime }-\rho y=0$, $y(0)=y(1)=0$. $\rho$ is a generalized derivative of function $P\in L_2[0,1]$. For self-similar $P$ asymptotic formulas for eigenvalu…