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, 2005, Volume 46, Number 1, Pages 139–148 (Mi smj946)  
This article is cited in 3 scientific papers (total in 4 papers)

Approximation of the resonance boundary-value problems of elliptic type with a discontinuous nonlinearity

M. G. Lepchinski, V. N. Pavlenko

Chelyabinsk State University
Full-text PDF (211 kB) Citations (4)
References:
PDF
HTML
Abstract: We consider the situation in which a resonance elliptic boundary-value problem with a discontinuous nonlinearity is an idealization of a distributed system with nonlinearities continuous in the phase variable and having narrow areas in the domain of the phase variable in which the tracking of the change of nonlinear parameters is impossible. We study the question of proximity of the solution sets of the original and idealized systems.
Keywords: resonance elliptic problem, discontinuous nonlinearity, approximation, $\beta$-convergence.
Received: 20.08.2003
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 1, Pages 111–118
DOI: https://doi.org/10.1007/s11202-005-0012-3
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: M. G. Lepchinski, V. N. Pavlenko, “Approximation of the resonance boundary-value problems of elliptic type with a discontinuous nonlinearity”, Sibirsk. Mat. Zh., 46:1 (2005), 139–148; Siberian Math. J., 46:1 (2005), 111–118
Citation in format AMSBIB
\Bibitem{LepPav05}
\by M.~G.~Lepchinski, V.~N.~Pavlenko
\paper Approximation of the resonance boundary-value problems of elliptic type with a~discontinuous nonlinearity
\jour Sibirsk. Mat. Zh.
\yr 2005
\vol 46
\issue 1
\pages 139--148
\mathnet{http://mi.mathnet.ru/smj946}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2141309}
\zmath{https://zbmath.org/?q=an:1114.35076}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 1
\pages 111--118
\crossref{https://doi.org/10.1007/s11202-005-0012-3}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000227076100012}
Linking options:
  • https://www.mathnet.ru/eng/smj946
  • https://www.mathnet.ru/eng/smj/v46/i1/p139
    • This publication is cited in the following 4 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:408
    Full-text PDF :99
    References:60
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024