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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2022, Volume 62, Number 6, Pages 965–976
DOI: https://doi.org/10.31857/S0044466922060102 (Mi zvmmf11408) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Partial Differential Equations

On a nonlinear problem for a system of integro-differential equations of radiative transfer theory

A. V. Kalininab, A. A. Tyukhtinaa

a Lobachevsky University of Nizhny Novgorod, 603022, Nizhny Novgorod, Russia
b Institute of Applied Physics, Russian Academy of Sciences, 603950, Nizhny Novgorod, Russia
Citations (2)
DOI: https://doi.org/10.31857/S0044466922060102
Abstract: An initial-boundary value problem for a system of nonlinear integro-differential equations of radiative transfer theory is considered. An existence and uniqueness theorem for this problem is proved. Based on the properties of semigroups of isotone operators acting in conditionally complete lattices, stabilization of the solution of the problem as $t\to\infty$ is established.
Key words: system of radiative transfer equations, nonlinear integro-differential equations, semigroups of isotone operators.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2022-883
This work was supported by the Scientific and Educational Center “Mathematics of Future Technologies” (agreement no. 075-02-2022-883).
Received: 12.12.2021
Revised: 20.01.2022
Accepted: 11.02.2022
English version:
Computational Mathematics and Mathematical Physics, 2022, Volume 62, Issue 6, Pages 933–944
DOI: https://doi.org/10.1134/S0965542522060094
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. V. Kalinin, A. A. Tyukhtina, “On a nonlinear problem for a system of integro-differential equations of radiative transfer theory”, Zh. Vychisl. Mat. Mat. Fiz., 62:6 (2022), 965–976; Comput. Math. Math. Phys., 62:6 (2022), 933–944
Citation in format AMSBIB
\Bibitem{KalTyu22}
\by A.~V.~Kalinin, A.~A.~Tyukhtina
\paper On a nonlinear problem for a system of integro-differential equations of radiative transfer theory
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2022
\vol 62
\issue 6
\pages 965--976
\mathnet{http://mi.mathnet.ru/zvmmf11408}
\crossref{https://doi.org/10.31857/S0044466922060102}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4452824}
\elib{https://elibrary.ru/item.asp?id=48506073}
\transl
\jour Comput. Math. Math. Phys.
\yr 2022
\vol 62
\issue 6
\pages 933--944
\crossref{https://doi.org/10.1134/S0965542522060094}
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  • https://www.mathnet.ru/eng/zvmmf/v62/i6/p965
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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