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Mathematics of the USSR-Sbornik, 1985, Volume 50, Issue 1, Pages 213–225
DOI: https://doi.org/10.1070/SM1985v050n01ABEH002825 (Mi sm2286) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Averaging processes in framework structures

G. P. Panasenko
English version PDF (570 kB) Citations (5) Russian version article
References:
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DOI: https://doi.org/10.1070/SM1985v050n01ABEH002825
Abstract: Equations of hyperbolic, parabolic, and elliptic types are considered on an m-dimensional framework – the union over all j=1,…,m of systems, ε-periodic (ε≪1) in all variables, of thin beams of strips (with transverse dimension εμ, μ≪1) oriented in the jth coordinate direction. Asymptotic expansions of solutions are constructed.
Figures: 3.
Bibliography: 22 titles.
Received: 27.11.1981
Bibliographic databases:
UDC: 517.946.9
MSC: Primary 35G15, 35B40; Secondary 73K05
Language: English
Original paper language: Russian
Citation: G. P. Panasenko, “Averaging processes in framework structures”, Math. USSR-Sb., 50:1 (1985), 213–225
Citation in format AMSBIB
\Bibitem{Pan83}
\by G.~P.~Panasenko
\paper Averaging processes in framework structures
\jour Math. USSR-Sb.
\yr 1985
\vol 50
\issue 1
\pages 213--225
\mathnet{http://mi.mathnet.ru/eng/sm2286}
\crossref{https://doi.org/10.1070/SM1985v050n01ABEH002825}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=717676}
\zmath{https://zbmath.org/?q=an:0556.35010}
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  • https://doi.org/10.1070/SM1985v050n01ABEH002825
  • https://www.mathnet.ru/eng/sm/v164/i2/p220
    • This publication is cited in the following 5 articles:
    1. Bérangère Delourme, Sonia Fliss, Patrick Joly, Elizaveta Vasilevskaya, “Trapped modes in thin and infinite ladder like domains. Part 2: Asymptotic analysis and numerical application”, ASY, 119:1-2 (2020), 117  crossref
    2. Berlyand, L, “Asymptotic analysis of an array of closely spaced absolutely conductive inclusions”, Networks and Heterogeneous Media, 1:3 (2006), 353  crossref  mathscinet  zmath  isi
    3. Briane M., “Increase of Dimension by Homogenization”, Potential Anal., 14:3 (2001), 233–268  crossref  mathscinet  zmath  isi
    4. Panasenko G., “Asymptotic Analysis of Bar Systems .2.”, Russ. J. Math. Phys., 4:1 (1996), 87–116  mathscinet  zmath  isi
    5. Cioranescu D., Paulin J., “Reinforced and Honey-Comb Structures”, J. Math. Pures Appl., 65:4 (1986), 403–422  mathscinet  zmath  isi
    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
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    Abstract page:419
    Russian version PDF:107
    English version PDF:17
    References:78
     
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