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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 1983 Volume 23, Number 5, Pages 1125–1140 (Mi zvmmf4497)

The linear equation of multivelocity transport theory

D. A. Shulaya

Tbilisi

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.

UDC: 517.958:536.71

MSC: Primary 45K05; Secondary 45C05, 82C70

Received: 04.08.1981
Revised: 10.05.1982


 English version:
USSR Computational Mathematics and Mathematical Physics, 1983, 23:5, 65–75

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© Steklov Math. Inst. of RAS, 2026