Geodesic
On the solvability of plane-parallel problems in the theory of radiation transport
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 4, pp. 557-569

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Numerical sequences are constructed for a fundamental problem in transport theory which converge to the largest eigenvalue with respect to an excess and a deficiency. Problems of the solvability of general boundary-value problems in plane-parallel geometry are studied on the basis of these results. The technique of the theory of operators which are positive with respect to a cone is used. 
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     author = {Yu. V. Knyazikhin},
     title = {On the solvability of plane-parallel problems in the theory of radiation transport},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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Yu. V. Knyazikhin. On the solvability of plane-parallel problems in the theory of radiation transport. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 4, pp. 557-569. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_4_a7/