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

Voir la notice de l'article provenant de la source Math-Net.Ru

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
@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/}
}
TY  - JOUR
AU  - T. N. Harutyunyan
TI  - Asymptotics of the norming constants of the Sturm–Liouville problem
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2013
SP  - 3
EP  - 11
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_2013_3_a0/
LA  - en
ID  - UZERU_2013_3_a0
ER  - 
%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/