Indefinite Sturm–Liouville Problem for Some Classes of Self-similar Singular Weights

We continue studying the asymptotics of the spectrum for the boundary value problem $-y''-\lambda \rho y=0$, $y(0)=y(1)=0$, where $\rho $ is a function in the space $\mathring W_{\!2}^{-1}[0,1]$ with a self-similar primitive. The cases of nonarithmetic and degenerate arithmetic self-similarity of such a primitive are considered.