Approximate computation of eigenvalues and eigenfunctions of Sturm–Liouville differential operators by applying the theory of regularized traces
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 3, pp. 409-446

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

This paper overviews studies dealing with the approximate computation of eigenvalues and eigenfunctions of Sturm–Liouville differential operators by applying methods of the theory of regularized traces. Dorodnicyn’s method and its development in the form of the theory of regularized traces of differential operators are described.
@article{ZVMMF_2012_52_3_a4,
     author = {M. K. Kerimov},
     title = {Approximate computation of eigenvalues and eigenfunctions of {Sturm{\textendash}Liouville} differential operators by applying the theory of regularized traces},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {409--446},
     publisher = {mathdoc},
     volume = {52},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_3_a4/}
}
TY  - JOUR
AU  - M. K. Kerimov
TI  - Approximate computation of eigenvalues and eigenfunctions of Sturm–Liouville differential operators by applying the theory of regularized traces
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2012
SP  - 409
EP  - 446
VL  - 52
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_3_a4/
LA  - ru
ID  - ZVMMF_2012_52_3_a4
ER  - 
%0 Journal Article
%A M. K. Kerimov
%T Approximate computation of eigenvalues and eigenfunctions of Sturm–Liouville differential operators by applying the theory of regularized traces
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2012
%P 409-446
%V 52
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_3_a4/
%G ru
%F ZVMMF_2012_52_3_a4
M. K. Kerimov. Approximate computation of eigenvalues and eigenfunctions of Sturm–Liouville differential operators by applying the theory of regularized traces. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 3, pp. 409-446. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_3_a4/