Geodesic
Distribution of the eigenvalues of the Sturm--Liouville operator equation
Izvestiya. Mathematics , Tome 11 (1977) no. 3, pp. 571-582

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This work contains an analysis of the dependence of the lower terms of the asymptotics of the distribution of the eigenvalues of the equation $-y''+Ay=\lambda y$ upon the spectrum of the positive selfadjoint operator $A$ and the form of the boundary conditions. As a corollary the second term is found for the spectral asymptotics of classical boundary value problems for the Laplace equation in three-dimensional cylindrical domains. Bibliography: 20 titles. 
@article{IM2_1977_11_3_a5,
     author = {V. A. Mikhailets},
     title = {Distribution of the eigenvalues of the {Sturm--Liouville} operator equation},
     journal = {Izvestiya. Mathematics },
     pages = {571--582},
     publisher = {mathdoc},
     volume = {11},
     number = {3},
     year = {1977},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1977_11_3_a5/}
}
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V. A. Mikhailets. Distribution of the eigenvalues of the Sturm--Liouville operator equation. Izvestiya. Mathematics , Tome 11 (1977) no. 3, pp. 571-582. http://geodesic.mathdoc.fr/item/IM2_1977_11_3_a5/