Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 5, pp. 1125-1140
Citer cet article
D. A. Shulaya. The linear equation of multivelocity transport theory. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 5, pp. 1125-1140. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a9/
@article{ZVMMF_1983_23_5_a9,
author = {D. A. Shulaya},
title = {The linear equation of multivelocity transport theory},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1125--1140},
year = {1983},
volume = {23},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a9/}
}
TY - JOUR
AU - D. A. Shulaya
TI - The linear equation of multivelocity transport theory
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1983
SP - 1125
EP - 1140
VL - 23
IS - 5
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a9/
LA - ru
ID - ZVMMF_1983_23_5_a9
ER -
%0 Journal Article
%A D. A. Shulaya
%T The linear equation of multivelocity transport theory
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 1125-1140
%V 23
%N 5
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a9/
%G ru
%F ZVMMF_1983_23_5_a9
A general representation is obtained for the continuous solutions of the linear equation of multivelocity transport theory in a plane geometry. Theorems are proved, similar to Case's theorems on the representation of arbitrary functions, known as completeness theorems for single-velocity transport theory. For the characteristic equation of transport theory, theorems of the Hilbert–Schmidt type are proved.
