Geodesic
On the Eigenvalues and Eigenfunctions of the Sturm–Liouville Operator with a Singular Potential
Matematičeskie zametki, Tome 69 (2001) no. 2, pp. 277-285 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we consider the Sturm–Liouville operators generated by the differential expression $-y+q(x)y$ and by Dirichlet boundary conditions on the closed interval $[0,\pi]$. Here $q(x)$ is a distribution of first order, i.e., $\int q(x)dx\in L_2[0,\pi]$. Asymptotic formulas for the eigenvalues and eigenfunctions of such operators which depend on the smoothness degree of $q(x)$ are obtained. 
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A. M. Savchuk. On the Eigenvalues and Eigenfunctions of the Sturm–Liouville Operator with a Singular Potential. Matematičeskie zametki, Tome 69 (2001) no. 2, pp. 277-285. http://geodesic.mathdoc.fr/item/MZM_2001_69_2_a10/

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