The linear equation of multivelocity transport theory
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 5, pp. 1125-1140
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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.
@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/}
}
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/