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Matematicheskie Zametki, 1976, Volume 20, Issue 3, Pages 359–363 (Mi mzm7854)  

This article is cited in 3 scientific papers (total in 3 papers)

Representation of solutions of linear partial differential equations in the form of finite sums

S. S. Titov

Institute of Mathematics and Mechanics, Ural Scientific Center of the AS of USSR
Full-text PDF (300 kB) Citations (3)
Abstract: In this note we consider the problem of representing solutions of linear partial differential equations with two independent variables in the form of finite sums. We obtain one sufficient representability criterion and indicate several classes of equations to which it is applicable. As examples we obtain new exact solutions of the transformed minimal surface equation and the Tricomi equation.
Received: 02.01.1975
English version:
Mathematical Notes, 1976, Volume 20, Issue 3, Pages 760–763
DOI: https://doi.org/10.1007/BF01097245
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: S. S. Titov, “Representation of solutions of linear partial differential equations in the form of finite sums”, Mat. Zametki, 20:3 (1976), 359–363; Math. Notes, 20:3 (1976), 760–763
Citation in format AMSBIB
\Bibitem{Tit76}
\by S.~S.~Titov
\paper Representation of solutions of linear partial differential equations in the form of finite sums
\jour Mat. Zametki
\yr 1976
\vol 20
\issue 3
\pages 359--363
\mathnet{http://mi.mathnet.ru/mzm7854}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=430494}
\zmath{https://zbmath.org/?q=an:0333.35018}
\transl
\jour Math. Notes
\yr 1976
\vol 20
\issue 3
\pages 760--763
\crossref{https://doi.org/10.1007/BF01097245}
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  • https://www.mathnet.ru/eng/mzm/v20/i3/p359
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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