Sibirskii Matematicheskii Zhurnal
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


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 5, Pages 1154–1162
DOI: https://doi.org/10.17377/smzh.2015.56.514 (Mi smj2704) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the range of one complex-valued functional

V. A. Pchelintseva, E. A. Pchelintsevb

a Institute of Physics and Technology, Tomsk Polytechnical University, Tomsk, Russia
b Tomsk State University, Faculty of Mechanics and Mathematics, Tomsk, Russia
Full-text PDF (295 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.17377/smzh.2015.56.514
Abstract: We solve the problem of finding the range $\Omega$ of one functional on the class of pairs of normalized univalent functions. Using the method of internal variations, we obtain a system of functional-differential equations for the boundary functions solved in quadratures. We prove that the range of the functional is some disk centered at the origin of a radius depending on the parameters of the functional.
Keywords: functional, range, variational method, boundary function, univalent function.
Received: 04.01.2015
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 5, Pages 922–928
DOI: https://doi.org/10.1134/S0037446615050146
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: V. A. Pchelintsev, E. A. Pchelintsev, “On the range of one complex-valued functional”, Sibirsk. Mat. Zh., 56:5 (2015), 1154–1162; Siberian Math. J., 56:5 (2015), 922–928
Citation in format AMSBIB
\Bibitem{PchPch15}
\by V.~A.~Pchelintsev, E.~A.~Pchelintsev
\paper On the range of one complex-valued functional
\jour Sibirsk. Mat. Zh.
\yr 2015
\vol 56
\issue 5
\pages 1154--1162
\mathnet{http://mi.mathnet.ru/smj2704}
\crossref{https://doi.org/10.17377/smzh.2015.56.514}
\elib{https://elibrary.ru/item.asp?id=24817503}
\transl
\jour Siberian Math. J.
\yr 2015
\vol 56
\issue 5
\pages 922--928
\crossref{https://doi.org/10.1134/S0037446615050146}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000363722400014}
\elib{https://elibrary.ru/item.asp?id=24963192}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84944930346}
Linking options:
  • https://www.mathnet.ru/eng/smj2704
  • https://www.mathnet.ru/eng/smj/v56/i5/p1154
    • 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
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:374
    Full-text PDF :98
    References:73
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024