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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 4, Pages 932–946 (Mi smj2467)  
This article is cited in 2 scientific papers (total in 2 papers)

On the solvability and numerical methods for solution of linear integro-algebraic equations

V. F. Chistyakov

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia
Full-text PDF (344 kB) Citations (2)
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Abstract: We study solvability conditions for a system of Volterra equations with some identically degenerate or rectangular matrix at the main term. Connection is discussed of the solvability conditions and applicability of numerical methods for solving these systems. In particular, the conditions of the convergence of the least squares method with the error functional defined in Sobolev spaces are presented.
Keywords: integro-differential equation, index, least squares method, difference scheme, singular point.
Received: 07.08.2012
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 4, Pages 746–758
DOI: https://doi.org/10.1134/S0037446613040149
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: V. F. Chistyakov, “On the solvability and numerical methods for solution of linear integro-algebraic equations”, Sibirsk. Mat. Zh., 54:4 (2013), 932–946; Siberian Math. J., 54:4 (2013), 746–758
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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