Asymptotics of the norming constants of the Sturm–Liouville problem
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2013), pp. 3-11
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We derive new asymptotic formulae for the norming constants of Sturm–Liouville problem, which generalize and make more precise previously known formulae, by taking into account the smooth dependence of norming constants on boundary conditions.
Keywords:
norming constants, asymptotics of the solutions, asymptotics of spectral data.
Mots-clés : Sturm–Liouville problem
Mots-clés : Sturm–Liouville problem
@article{UZERU_2013_3_a0,
author = {T. N. Harutyunyan},
title = {Asymptotics of the norming constants of the {Sturm{\textendash}Liouville} problem},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {3--11},
publisher = {mathdoc},
number = {3},
year = {2013},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UZERU_2013_3_a0/}
}
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%0 Journal Article %A T. N. Harutyunyan %T Asymptotics of the norming constants of the Sturm–Liouville problem %J Proceedings of the Yerevan State University. Physical and mathematical sciences %D 2013 %P 3-11 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/UZERU_2013_3_a0/ %G en %F UZERU_2013_3_a0
T. N. Harutyunyan. Asymptotics of the norming constants of the Sturm–Liouville problem. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2013), pp. 3-11. http://geodesic.mathdoc.fr/item/UZERU_2013_3_a0/