Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki:
Year:
Volume:
Issue:
Page:
Find




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

Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2013, Volume 155, Book 4, Pages 90–98 (Mi uzku1244)  
This article is cited in 1 scientific paper (total in 1 paper)

Solvability conditions in quadratures of two Volterra equations

I. M. Shakirova

Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (418 kB) Citations (1)
References:
PDF
HTML
Abstract: In terms of the coefficients of Volterra integral equations, sufficient conditions for their explicit solvability are derived. The conditions are obtained by the reduction of the initial equations to various versions of the Goursat problem for equations of second order. This makes it possible to use the known solutions to the Goursat problems in quadratures.
Keywords: Volterra equation, Goursat problem, Riemann function, solution in quadratures.
Received: 05.09.2013
Document Type: Article
UDC: 517.968.2
Language: Russian
Citation: I. M. Shakirova, “Solvability conditions in quadratures of two Volterra equations”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 155, no. 4, Kazan University, Kazan, 2013, 90–98
Citation in format AMSBIB
\Bibitem{Sha13}
\by I.~M.~Shakirova
\paper Solvability conditions in quadratures of two Volterra equations
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2013
\vol 155
\issue 4
\pages 90--98
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1244}
Linking options:
  • https://www.mathnet.ru/eng/uzku1244
  • https://www.mathnet.ru/eng/uzku/v155/i4/p90
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
    Statistics & downloads:
    Abstract page:290
    Full-text PDF :134
    References:41
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024