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Mathematics of the USSR-Sbornik, 1974, Volume 24, Issue 2, Pages 159–207
DOI: https://doi.org/10.1070/SM1974v024n02ABEH001912
(Mi sm3750)
 

This article is cited in 9 scientific papers (total in 9 papers)

Asymptotic solutions of equations with complex characteristics

V. V. Kucherenko
References:
Abstract: In this paper we give a method for constructing formal asymptotic solutions. This method uses in some sense “approximate solutions” of the equation of the characteristics and the transport equation. The construction of approximate solutions is brought abount by means of an analogue of the analytic Hamiltonian formalism in a complex phase space.
Bibliography: 19 titles.
Received: 07.06.1973
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1974, Volume 95(137), Number 2(10), Pages 163–213
Bibliographic databases:
UDC: 517.9
MSC: Primary 58G99, 35G10, 35J10, 35S10; Secondary 58F05, 35C99, 81A10, 70H99, 78A45
Language: English
Original paper language: Russian
Citation: V. V. Kucherenko, “Asymptotic solutions of equations with complex characteristics”, Mat. Sb. (N.S.), 95(137):2(10) (1974), 163–213; Math. USSR-Sb., 24:2 (1974), 159–207
Citation in format AMSBIB
\Bibitem{Kuc74}
\by V.~V.~Kucherenko
\paper Asymptotic solutions of equations with complex characteristics
\jour Mat. Sb. (N.S.)
\yr 1974
\vol 95(137)
\issue 2(10)
\pages 163--213
\mathnet{http://mi.mathnet.ru/sm3750}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=367422}
\zmath{https://zbmath.org/?q=an:0311.35007}
\transl
\jour Math. USSR-Sb.
\yr 1974
\vol 24
\issue 2
\pages 159--207
\crossref{https://doi.org/10.1070/SM1974v024n02ABEH001912}
Linking options:
  • https://www.mathnet.ru/eng/sm3750
  • https://doi.org/10.1070/SM1974v024n02ABEH001912
  • https://www.mathnet.ru/eng/sm/v137/i2/p163
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:413
    Russian version PDF:125
    English version PDF:37
    References:53
    First page:2
     
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