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, 2012, Volume 203, Issue 5, Pages 743–767
DOI: https://doi.org/10.1070/SM2012v203n05ABEH004241 (Mi sm7844) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Bounded and periodic solutions of nonlinear functional differential equations

V. E. Slyusarchuk

Ukranian State Academy of Water Economy
English version PDF (425 kB) Citations (15)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM2012v203n05ABEH004241
Abstract: Conditions for the existence of bounded and periodic solutions of the nonlinear functional differential equation
$$ \frac{d^mx(t)}{dt^m}+(Fx)(t)=h(t), \qquad t\in \mathbb{R}, $$
are presented, involving local linear approximations to the operator $F$.
Bibliography: 23 titles.
Keywords: bounded and periodic solutions, nonlinear functional differential equations, invertibility of linear operators.
Received: 17.01.2011
Russian version:
Matematicheskii Sbornik, 2012, Volume 203, Number 5, Pages 135–160
DOI: https://doi.org/10.4213/sm7844
Bibliographic databases:
Document Type: Article
UDC: 517.988.6
MSC: 34K12, 34K13
Language: English
Original paper language: Russian
Citation: V. E. Slyusarchuk, “Bounded and periodic solutions of nonlinear functional differential equations”, Mat. Sb., 203:5 (2012), 135–160; Sb. Math., 203:5 (2012), 743–767
Citation in format AMSBIB
\Bibitem{Sly12}
\by V.~E.~Slyusarchuk
\paper Bounded and periodic solutions of~nonlinear functional differential equations
\jour Mat. Sb.
\yr 2012
\vol 203
\issue 5
\pages 135--160
\mathnet{http://mi.mathnet.ru/sm7844}
\crossref{https://doi.org/10.4213/sm7844}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2977101}
\zmath{https://zbmath.org/?q=an:1262.34081}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2012SbMat.203..743S}
\elib{https://elibrary.ru/item.asp?id=19066497}
\transl
\jour Sb. Math.
\yr 2012
\vol 203
\issue 5
\pages 743--767
\crossref{https://doi.org/10.1070/SM2012v203n05ABEH004241}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000306361100005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84863950139}
Linking options:
  • https://www.mathnet.ru/eng/sm7844
  • https://doi.org/10.1070/SM2012v203n05ABEH004241
  • https://www.mathnet.ru/eng/sm/v203/i5/p135
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:703
    Russian version PDF:197
    English version PDF:18
    References:82
    First page:43
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024