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 
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/
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     title = {Calculating the eigenvalues of the {Sturm{\textendash}Liouville} problem with a~fractal indefinite weight},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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 $P\in L_2[0,1]$.

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