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Sbornik: Mathematics, 1995, Volume 186, Issue 8, Pages 1147–1172
DOI: https://doi.org/10.1070/SM1995v186n08ABEH000060
(Mi sm60)
 

This article is cited in 33 scientific papers (total in 33 papers)

Solubility and properties of solutions of functional-differential equations in Hilbert space

V. V. Vlasov

Moscow Institute of Physics and Technology
References:
Abstract: A class of functional-differential equations of neutral type with coefficients that are functions taking values in the set of (in general, unbounded) operators in separable Hilbert space is considered. For such equations results on the well-posed solubility of initial-boundary-value problems on the semiaxis in Sobolev weighted spaces are established.
Received: 28.11.1994
Russian version:
Matematicheskii Sbornik, 1995, Volume 186, Number 8, Pages 67–92
Bibliographic databases:
UDC: 517.942+517.929
MSC: 34K10, 34K25, 34K30
Language: English
Original paper language: Russian
Citation: V. V. Vlasov, “Solubility and properties of solutions of functional-differential equations in Hilbert space”, Mat. Sb., 186:8 (1995), 67–92; Sb. Math., 186:8 (1995), 1147–1172
Citation in format AMSBIB
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\by V.~V.~Vlasov
\paper Solubility and properties of solutions of functional-differential equations in Hilbert space
\jour Mat. Sb.
\yr 1995
\vol 186
\issue 8
\pages 67--92
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1357357}
\zmath{https://zbmath.org/?q=an:0951.34052}
\transl
\jour Sb. Math.
\yr 1995
\vol 186
\issue 8
\pages 1147--1172
\crossref{https://doi.org/10.1070/SM1995v186n08ABEH000060}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TX11200012}
Linking options:
  • https://www.mathnet.ru/eng/sm60
  • https://doi.org/10.1070/SM1995v186n08ABEH000060
  • https://www.mathnet.ru/eng/sm/v186/i8/p67
  • This publication is cited in the following 33 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:510
    Russian version PDF:146
    English version PDF:28
    References:66
    First page:1
     
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