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Zapiski Nauchnykh Seminarov LOMI, 1981, Volume 111, Pages 63–87 (Mi znsl1785)  

This article is cited in 1 scientific paper (total in 1 paper)

Existence and the optimal choice of the values of parameters in inequalities guaranteeing the validity of embedding theorems

V. P. Il'in
Abstract: For systems of linear algebraic equations with matrix of coefficientsa $a_{ij}$ ($i,j=1,\dots,n$) where under certain assumptions regarding the form of the matrix and for nonnegative right-hand sides, one establishes necessary and sufficient conditions for the existence of strictly positive solutions. One considers applications in the imbedding theory of functional spaces.
English version:
Journal of Soviet Mathematics, 1984, Volume 24, Issue 1, Pages 37–55
DOI: https://doi.org/10.1007/BF01230263
Bibliographic databases:
UDC: 517.51, 518.512
Language: Russian
Citation: V. P. Il'in, “Existence and the optimal choice of the values of parameters in inequalities guaranteeing the validity of embedding theorems”, Computational methods and algorithms. Part V, Zap. Nauchn. Sem. LOMI, 111, "Nauka", Leningrad. Otdel., Leningrad, 1981, 63–87; J. Soviet Math., 24:1 (1984), 37–55
Citation in format AMSBIB
\Bibitem{Ili81}
\by V.~P.~Il'in
\paper Existence and the optimal choice of the values of parameters in inequalities guaranteeing the validity of embedding theorems
\inbook Computational methods and algorithms. Part~V
\serial Zap. Nauchn. Sem. LOMI
\yr 1981
\vol 111
\pages 63--87
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1785}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=628991}
\zmath{https://zbmath.org/?q=an:0527.15012|0479.15016}
\transl
\jour J. Soviet Math.
\yr 1984
\vol 24
\issue 1
\pages 37--55
\crossref{https://doi.org/10.1007/BF01230263}
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  • https://www.mathnet.ru/eng/znsl/v111/p63
  • 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
    Записки научных семинаров ПОМИ
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