Geodesic
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. 
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     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},
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     number = {5},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a9/}
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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/