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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 9, Pages 1665–1673 (Mi zvmmf9542)  
This article is cited in 11 scientific papers (total in 11 papers)

On a family of singular integro-differential equations

M. V. Bulatov, E. V. Chistyakova

Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033 Russia
Full-text PDF (224 kB) Citations (11)
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Abstract: Integro-differential systems in which the matrix multiplying the derivative of the unknown vector function is identically singular are analyzed. This analysis is based on the special properties of the matrix polynomials associated with the original system. An existence theorem is proved, and a numerical method for finding the solution is proposed and justified.
Key words: integro-differential equations, matrix polynomials, finite difference schemes.
Received: 15.06.2010
Revised: 15.03.2011
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 9, Pages 1558–1566
DOI: https://doi.org/10.1134/S0965542511090065
Bibliographic databases:
Document Type: Article
UDC: 519.642.2
Language: Russian
Citation: M. V. Bulatov, E. V. Chistyakova, “On a family of singular integro-differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 51:9 (2011), 1665–1673; Comput. Math. Math. Phys., 51:9 (2011), 1558–1566
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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