Geodesic
Calculating the eigenvalues of the Sturm–Liouville problem with a fractal indefinite weight
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 8, pp. 1350-1355

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An efficient method is proposed for calculating the eigenvalues of the boundary value problem $-y''-\lambda\rho y=0,\quad y(0)=y(1)=0$, where $\rho\in\mathring W_2^{-1}[0,1]$ is the generalized derivative of a self-similar function $P\in L_2[0,1]$. 
@article{ZVMMF_2007_47_8_a6,
     author = {A. A. Vladimirov},
     title = {Calculating the eigenvalues of the {Sturm{\textendash}Liouville} problem with a~fractal indefinite weight},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1350--1355},
     publisher = {mathdoc},
     volume = {47},
     number = {8},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_8_a6/}
}
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A. A. Vladimirov. Calculating the eigenvalues of the Sturm–Liouville problem with a fractal indefinite weight. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 8, pp. 1350-1355. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_8_a6/