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Mat. Sb. (N.S.), 1981, Volume 116(158), Number 3(11), Pages 299–309 (Mi msb2468)  

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

Passive linear systems of partial differential equations

Yu. N. Drozhzhinov


Abstract: In this paper the concept of a system passive relative to a cone that was introduced by V. S. Vladimirov for the case of translation-invariant systems is extended to systems which are not translation invariant. For systems of linear partial differential equations of first order with variable coefficients necessary and sufficient conditions are found for them to be passive relative to a cone. A generalized Cauchy problem is posed for such systems, and it is proved that this problem is well posed under the condition of strict nondegeneracy.
Bibliography: 7 titles.

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English version:
Mathematics of the USSR-Sbornik, 1983, 44:3, 269–278

Bibliographic databases:

Document Type: Article
UDC: 517.944
MSC: Primary 35L45; Secondary 35F10
Received: 22.01.1981

Citation: Yu. N. Drozhzhinov, “Passive linear systems of partial differential equations”, Mat. Sb. (N.S.), 116(158):3(11) (1981), 299–309; Math. USSR-Sb., 44:3 (1983), 269–278

Citation in format AMSBIB
\Bibitem{Dro81}
\by Yu.~N.~Drozhzhinov
\paper Passive linear systems of partial differential equations
\jour Mat. Sb. (N.S.)
\yr 1981
\vol 116(158)
\issue 3(11)
\pages 299--309
\mathnet{http://mi.mathnet.ru/msb2468}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=665684}
\zmath{https://zbmath.org/?q=an:0507.35056|0487.35018}
\transl
\jour Math. USSR-Sb.
\yr 1983
\vol 44
\issue 3
\pages 269--278
\crossref{https://doi.org/10.1070/SM1983v044n03ABEH000966}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Galeev R., “Cauchy-Problem for Passive Systems in Hilbert-Space”, Differ. Equ., 18:10 (1982), 1233–1237  mathnet  mathscinet  isi
  • Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics (from 1967)
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