The theory of regularized traces of Sturm–Liouville operators as applied to approximate calculation of eigenvalues and eigenfunctions of certain singular operators
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 12, pp. 2209-2232
Voir la notice de l'article provenant de la source Math-Net.Ru
The effectiveness of the theory of regularized traces as applied to the approximate calculation of eigenvalues and eigenfunctions is demonstrated for certain singular differential operators. Singular operators of the Bessel type and operators from fluid dynamics and mathematical physics are considered.
@article{ZVMMF_2011_51_12_a6,
author = {M. K. Kerimov},
title = {The theory of regularized traces of {Sturm{\textendash}Liouville} operators as applied to approximate calculation of eigenvalues and eigenfunctions of certain singular operators},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {2209--2232},
publisher = {mathdoc},
volume = {51},
number = {12},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_12_a6/}
}
TY - JOUR AU - M. K. Kerimov TI - The theory of regularized traces of Sturm–Liouville operators as applied to approximate calculation of eigenvalues and eigenfunctions of certain singular operators JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2011 SP - 2209 EP - 2232 VL - 51 IS - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_12_a6/ LA - ru ID - ZVMMF_2011_51_12_a6 ER -
%0 Journal Article %A M. K. Kerimov %T The theory of regularized traces of Sturm–Liouville operators as applied to approximate calculation of eigenvalues and eigenfunctions of certain singular operators %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2011 %P 2209-2232 %V 51 %N 12 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_12_a6/ %G ru %F ZVMMF_2011_51_12_a6
M. K. Kerimov. The theory of regularized traces of Sturm–Liouville operators as applied to approximate calculation of eigenvalues and eigenfunctions of certain singular operators. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 12, pp. 2209-2232. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_12_a6/