Geodesic
Admissible boundary conditions at an irregular singular point for systems of linear ordinary differential equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 806-824

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

A class of admissible boundary conditions at an irregular singular point is distinguished, and the behavior in its neighborhood of the linear relations between the values of the system solutions, which are generated by these conditions, is described. In particular, it is shown under what assumptions the radiation conditions are admissible boundary conditions at infinity for a system of second-order equations, and when and how the conditions can be transferred to a finite point when solving a singular boundary value problem numerically. 
@article{ZVMMF_1983_23_4_a3,
     author = {N. B. Konyukhova},
     title = {Admissible boundary conditions at an irregular singular point for systems of linear ordinary differential equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {806--824},
     publisher = {mathdoc},
     volume = {23},
     number = {4},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a3/}
}
TY  - JOUR
AU  - N. B. Konyukhova
TI  - Admissible boundary conditions at an irregular singular point for systems of linear ordinary differential equations
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1983
SP  - 806
EP  - 824
VL  - 23
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a3/
LA  - ru
ID  - ZVMMF_1983_23_4_a3
ER  - 
%0 Journal Article
%A N. B. Konyukhova
%T Admissible boundary conditions at an irregular singular point for systems of linear ordinary differential equations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 806-824
%V 23
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a3/
%G ru
%F ZVMMF_1983_23_4_a3
N. B. Konyukhova. Admissible boundary conditions at an irregular singular point for systems of linear ordinary differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 806-824. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a3/