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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 5, Pages 1125–1140 (Mi zvmmf4497)  
The linear equation of multivelocity transport theory

D. A. Shulaya

Tbilisi
Full-text PDF (1428 kB)
Abstract: 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.
Received: 04.08.1981
Revised: 10.05.1982
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 5, Pages 65–75
DOI: https://doi.org/10.1016/S0041-5553(83)80159-1
Bibliographic databases:
Document Type: Article
UDC: 517.958:536.71
MSC: Primary 45K05; Secondary 45C05, 82C70
Language: Russian
Citation: D. A. Shulaya, “The linear equation of multivelocity transport theory”, Zh. Vychisl. Mat. Mat. Fiz., 23:5 (1983), 1125–1140; U.S.S.R. Comput. Math. Math. Phys., 23:5 (1983), 65–75
Citation in format AMSBIB
\Bibitem{Shu83}
\by D.~A.~Shulaya
\paper The linear equation of multivelocity transport theory
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 5
\pages 1125--1140
\mathnet{http://mi.mathnet.ru/zvmmf4497}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=721790}
\zmath{https://zbmath.org/?q=an:0536.45014}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 5
\pages 65--75
\crossref{https://doi.org/10.1016/S0041-5553(83)80159-1}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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