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A discrete model for nonlinear problems of Radiation Transfer: principle of invariance and factorization
N. B. Engibaryan^{} ^{} Institute of Mathematics, NAS Armenia
Abstract:
A discrete model for nonlinear problems of Radiation Transfer in a plane layer, consisting of finite or infinite number of identical sublayers, possessing given reflectiontransmission properties,
is considered. Fulfilment of condition of dissipativness or conservativness is assumed. Concept îf
minimality of the solution provides uniqueness of solution of boundary value problem for the difference transfer equation. An a priori estimates are obtained. Ambartsumian Principle of Invariance is diseminated and substantiated on Transfer equation in halfspace, which lead to factorization of nonlinear boundaryvalue problem.
Keywords:
Nonlinear Transfer problem, discrete model, minimality, solvability, factorization of nonlinear boundaryvalue problem.
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UDC:
517.958:536.71 Received: 04.08.2014
Citation:
N. B. Engibaryan, “A discrete model for nonlinear problems of Radiation Transfer: principle of invariance and factorization”, Matem. Mod., 27:5 (2015), 127–136
Citation in format AMSBIB
\Bibitem{Eng15}
\by N.~B.~Engibaryan
\paper A discrete model for nonlinear problems of Radiation Transfer: principle of invariance and factorization
\jour Matem. Mod.
\yr 2015
\vol 27
\issue 5
\pages 127136
\mathnet{http://mi.mathnet.ru/mm3604}
\elib{http://elibrary.ru/item.asp?id=24850028}
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http://mi.mathnet.ru/eng/mm3604 http://mi.mathnet.ru/eng/mm/v27/i5/p127
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Kh. A. Khachatryan, M. H. Avetisyan, “On solvability of an infinite nonlinear system of algebraic equations with Teoplitz–Hankel matrices”, Uch. zapiski EGU, ser. Fizika i Matematika, 51:2 (2017), 158–167

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