Geodesic
The asymptotic expansion of the spectrum of a~Sturm--Liouville operator
Sbornik. Mathematics, Tome 38 (1981) no. 1, pp. 127-141

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This paper studies the properties of the spectrum of the problem \begin{gather*} -y''(x)+q(x)y(x)=\lambda y(x),\qquad x > 0,\\ y(0)=0,\quad y(x)\in L_2[0,\infty), \end{gather*} under the assumption that $q(x)$ grows like a power of $x$ at $\infty$, while allowing that $q(x)$ may have a nonintegrable singularity at $0$. A result which lets one write down the first few terms of an asymptotic series for the eigenvalues is obtained. Bibliography: 8 titles. 
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     title = {The asymptotic expansion of the spectrum of {a~Sturm--Liouville} operator},
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Kh. Kh. Murtazin; T. G. Amangil'din. The asymptotic expansion of the spectrum of a~Sturm--Liouville operator. Sbornik. Mathematics, Tome 38 (1981) no. 1, pp. 127-141. http://geodesic.mathdoc.fr/item/SM_1981_38_1_a9/