Loading [MathJax]/jax/output/SVG/config.js
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{Sap11}
\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
\mathnet{http://mi.mathnet.ru/ivm7172}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2810194}
\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:
    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)
    Statistics & downloads:
    Abstract page:285
    Full-text PDF :67
    References:61
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025