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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 3, Pages 650–667 (Mi smj1868)  
This article is cited in 2 scientific papers (total in 2 papers)

An asymptotic expansion of the solution to a system of integrodifferential equations with exact asymptotics for the remainder

M. S. Sgibnev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (361 kB) Citations (2)
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Abstract: We obtain an asymptotic expansion of the solution to a system of first order integrodifferential equations taking into account the influence of the roots of the characteristic equation. We establish exact asymptotics for the remainder in dependence on the asymptotic properties of original functions.
Keywords: system of integrodifferential equations, asymptotic expansion, characteristic equation, exact asymptotics for the remainder.
Received: 20.12.2006
Revised: 28.03.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 3, Pages 524–538
DOI: https://doi.org/10.1007/s11202-008-0050-8
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: M. S. Sgibnev, “An asymptotic expansion of the solution to a system of integrodifferential equations with exact asymptotics for the remainder”, Sibirsk. Mat. Zh., 49:3 (2008), 650–667; Siberian Math. J., 49:3 (2008), 524–538
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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