Asymptotics of eigenvalues of Sturm--Liouville problem with discrete self-similar weight

A. A. Vladimirov, I. A. Sheipak

The Sturm--Liouville problem $-y^{\prime \prime }-\lambda \rho y=0$, $y(0)=y(1)=0$, where $\rho$ is a generalized derivative of self-similar function $P\in L_2[0,1]$ with spectral degree D=0, is studied. Asymp…