Izvestiya. Mathematics, Tome 65 (2001) no. 5, pp. 1003-1016
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S. N. Tumanov. Asymptotic formulae for the real eigenvalues of the Sturm–Liouville problem with two turning points. Izvestiya. Mathematics, Tome 65 (2001) no. 5, pp. 1003-1016. http://geodesic.mathdoc.fr/item/IM2_2001_65_5_a5/
@article{IM2_2001_65_5_a5,
author = {S. N. Tumanov},
title = {Asymptotic formulae for the real eigenvalues of the {Sturm{\textendash}Liouville} problem with two turning points},
journal = {Izvestiya. Mathematics},
pages = {1003--1016},
year = {2001},
volume = {65},
number = {5},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_2001_65_5_a5/}
}
TY - JOUR
AU - S. N. Tumanov
TI - Asymptotic formulae for the real eigenvalues of the Sturm–Liouville problem with two turning points
JO - Izvestiya. Mathematics
PY - 2001
SP - 1003
EP - 1016
VL - 65
IS - 5
UR - http://geodesic.mathdoc.fr/item/IM2_2001_65_5_a5/
LA - en
ID - IM2_2001_65_5_a5
ER -
%0 Journal Article
%A S. N. Tumanov
%T Asymptotic formulae for the real eigenvalues of the Sturm–Liouville problem with two turning points
%J Izvestiya. Mathematics
%D 2001
%P 1003-1016
%V 65
%N 5
%U http://geodesic.mathdoc.fr/item/IM2_2001_65_5_a5/
%G en
%F IM2_2001_65_5_a5
We consider the asymptotic behavior of the real spectrum of the indefinite Sturm-Liouville problem for large values of the spectral parameter and prove the existence of infinitely many asymptotic terms under the condition that the coefficients of the equation are analytic.
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