RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Subscription
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find






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


Mat. Zametki, 1968, Volume 3, Issue 6, Pages 715–720 (Mi mz6733)  

This article is cited in 1 scientific paper (total in 1 paper)

The generating elements of certain Volterra operators connected with third- and fourth-order differential operators

A. P. Khromov

Saratov State University named after N. G. Chernyshevsky

Abstract: Sufficient conditions are established for $f(x)$ to be the generating function for the Volterra operator which is inverse to the Cauchy operator: $l[y]=y^{(n)}+p_2(x)y^{(n-2)}+…+p_n(x)y$, $y(0)=y'(0)=…=y^{(n-1)}(0)=0$ ($n=3,4$), when the coefficients $p_i(x)$ are not analytic.

Full text: PDF file (434 kB)

English version:
Mathematical Notes, 1968, 3:6, 456–459

Bibliographic databases:

UDC: 513.88
Received: 05.10.1967

Citation: A. P. Khromov, “The generating elements of certain Volterra operators connected with third- and fourth-order differential operators”, Mat. Zametki, 3:6 (1968), 715–720; Math. Notes, 3:6 (1968), 456–459

Citation in format AMSBIB
\Bibitem{Khr68}
\by A.~P.~Khromov
\paper The generating elements of certain Volterra operators connected with third- and fourth-order differential operators
\jour Mat. Zametki
\yr 1968
\vol 3
\issue 6
\pages 715--720
\mathnet{http://mi.mathnet.ru/mz6733}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=230166}
\zmath{https://zbmath.org/?q=an:0169.47102|0164.16704}
\transl
\jour Math. Notes
\yr 1968
\vol 3
\issue 6
\pages 456--459
\crossref{https://doi.org/10.1007/BF01110606}


Linking options:
  • http://mi.mathnet.ru/eng/mz6733
  • http://mi.mathnet.ru/eng/mz/v3/i6/p715

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. P. Khromov, “On generating functions of Volterra operators”, Math. USSR-Sb., 31:3 (1977), 409–423  mathnet  crossref  mathscinet  zmath  isi
  • Математические заметки Mathematical Notes
    Number of views:
    This page:133
    Full text:69
    First page:1

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020