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Trudy Moskovskogo Matematicheskogo Obshchestva, 2014, Volume 75, Issue 2, Pages 219–243 (Mi mmo565)  
This article is cited in 16 scientific papers (total in 16 papers)

Properties of solutions of integro-differential equations arising in heat and mass transfer theory

V. V. Vlasov, N. A. Rautian

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (341 kB) Citations (16)
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Abstract: The aim of the present paper is to study the asymptotic behavior of solutions of integro-differential equations on the basis of spectral analysis of their symbols. To this end, we obtain representations of strong solutions of these equations in the form of a sum of terms corresponding to the real and nonreal parts of the spectrum of the operator functions that are the symbols of these equations. These representations are new for the class of integro-differential equations considered in the paper.
Received: 25.03.2014
English version:
Transactions of the Moscow Mathematical Society, 2014, Volume 75, Pages 185–204
DOI: https://doi.org/10.1090/S0077-1554-2014-00231-4
Bibliographic databases:
Document Type: Article
UDC: 517.97
MSC: 47G20, 34K30, 47A56, 34K12
Language: Russian
Citation: V. V. Vlasov, N. A. Rautian, “Properties of solutions of integro-differential equations arising in heat and mass transfer theory”, Tr. Mosk. Mat. Obs., 75, no. 2, MCCME, M., 2014, 219–243; Trans. Moscow Math. Soc., 75 (2014), 185–204
Citation in format AMSBIB
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\by V.~V.~Vlasov, N.~A.~Rautian
\paper Properties of solutions of integro-differential equations arising in heat and~mass transfer theory
\serial Tr. Mosk. Mat. Obs.
\yr 2014
\vol 75
\issue 2
\pages 219--243
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo565}
\elib{https://elibrary.ru/item.asp?id=23780164}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2014
\vol 75
\pages 185--204
\crossref{https://doi.org/10.1090/S0077-1554-2014-00231-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84960129426}
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Trudy Moskovskogo Matematicheskogo Obshchestva
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