Geodesic
Indefinite Sturm–Liouville Problem for Some Classes of Self-similar Singular Weights
Informatics and Automation, Function spaces, approximation theory, and nonlinear analysis, Tome 255 (2006), pp. 88-98 
A. A. Vladimirov; I. A. Sheipak. Indefinite Sturm–Liouville Problem for Some Classes of Self-similar Singular Weights. Informatics and Automation, Function spaces, approximation theory, and nonlinear analysis, Tome 255 (2006), pp. 88-98. http://geodesic.mathdoc.fr/item/TRSPY_2006_255_a6/
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     title = {Indefinite {Sturm{\textendash}Liouville} {Problem} for {Some} {Classes} of {Self-similar} {Singular} {Weights}},
     journal = {Informatics and Automation},
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     url = {http://geodesic.mathdoc.fr/item/TRSPY_2006_255_a6/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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