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

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


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




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

Sbornik: Mathematics, 2016, Volume 207, Issue 12, Pages 1625–1649
DOI: https://doi.org/10.1070/SM8369 (Mi sm8369) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Global bifurcation of solutions of certain nonlinear eigenvalue problems for ordinary differential equations of fourth order

Z. S. Aliyevab

a Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku, Azerbaijan
b Faculty of Mechanics and Mathematics, Baku State University, Azerbaijan
English version PDF (685 kB) Citations (22) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM8369
Abstract: Nonlinear eigenvalue problems are investigated for ordinary differential equations of fourth order. Local and global bifurcations of nontrivial solutions of these problems are investigated. It is shown that the set of nontrivial solutions of the problems under consideration that bifurcate from points and intervals of the line of trivial solutions contains unbounded continua.
Bibliography: 42 titles.
Keywords: bifurcation point, bifurcation interval, eigenvalue, eigenfunction, continuum of solutions.
Received: 30.03.2014 and 27.06.2016
Bibliographic databases:
UDC: 517.927.25
MSC: Primary 34B15, 34C23; Secondary 34B08
Language: English
Original paper language: Russian
Citation: Z. S. Aliyev, “Global bifurcation of solutions of certain nonlinear eigenvalue problems for ordinary differential equations of fourth order”, Sb. Math., 207:12 (2016), 1625–1649
Citation in format AMSBIB
\Bibitem{Ali16}
\by Z.~S.~Aliyev
\paper Global bifurcation of solutions of certain nonlinear eigenvalue problems for ordinary differential equations of fourth order
\jour Sb. Math.
\yr 2016
\vol 207
\issue 12
\pages 1625--1649
\mathnet{http://mi.mathnet.ru//eng/sm8369}
\crossref{https://doi.org/10.1070/SM8369}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3588983}
\zmath{https://zbmath.org/?q=an:1371.34038}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2016SbMat.207.1625A}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000394542200001}
\elib{https://elibrary.ru/item.asp?id=27485037}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85014239617}
Linking options:
  • https://www.mathnet.ru/eng/sm8369
  • https://doi.org/10.1070/SM8369
  • https://www.mathnet.ru/eng/sm/v207/i12/p3
    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024