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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 1, Pages 59–71 (Mi ivm7172)  
This article is cited in 3 scientific papers (total in 3 papers)

A multiparametric family of solutions to a singular Volterra integral equation in a Banach space

I. V. Sapronov

Chair of Mathematics, Voronezh State Forestry Academy, Voronezh, Russia
Full-text PDF (221 kB) Citations (3)
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Abstract: We construct a multiparametric set of solutions to a singular Volterra integral equation of the first kind with a sufficiently smooth kernel in the space of integrable functions whose values belong to a Banach space.
Keywords: integral equation, Banach space, operator pencil, spectrum.
Received: 02.06.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 1, Pages 50–61
DOI: https://doi.org/10.3103/S1066369X11010063
Bibliographic databases:
Document Type: Article
UDC: 517.968
Language: Russian
Citation: I. V. Sapronov, “A multiparametric family of solutions to a singular Volterra integral equation in a Banach space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 1, 59–71; Russian Math. (Iz. VUZ), 55:1 (2011), 50–61
Citation in format AMSBIB
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\by I.~V.~Sapronov
\paper A multiparametric family of solutions to a~singular Volterra integral equation in a~Banach space
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 1
\pages 59--71
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\elib{https://elibrary.ru/item.asp?id=15261317}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 1
\pages 50--61
\crossref{https://doi.org/10.3103/S1066369X11010063}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952852994}
Linking options:
  • https://www.mathnet.ru/eng/ivm7172
  • https://www.mathnet.ru/eng/ivm/y2011/i1/p59
    • This publication is cited in the following 3 articles:
    1. A. D. Kashnikova, A. V. Polyanina, O. V. Antipova, N. N. Zaitseva, V. A. Zubkova, A. V. Nimanikhina, “Epidemiology of hepatitis C infection among pregnant women and parturients in Nizhny Novgorod”, Medicinskij alfavit, 2024, no. 34, 63  crossref
    2. I. V. Sapronov, “Mnogoparametricheskoe semeistvo reshenii lineinogo integralnogo uravneniya Volterra I roda”, Izv. vuzov. Matem., 2024, no. 5, 47–62  mathnet  crossref
    3. I. V. Sapronov, “A Multiparameter Family of Solutions to the Volterra Linear Integral Equation of the First Kind”, Russ Math., 68:5 (2024), 35  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:61
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