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This article is cited in 5 scientific papers (total in 5 papers)
Averaging processes in framework structures
G. P. Panasenko
Abstract:
Equations of hyperbolic, parabolic, and elliptic types are considered on an $m$-dimensional framework – the union over all $j=1,\dots,m$ of systems, $\varepsilon$-periodic ($\varepsilon\ll1$) in all variables, of thin beams of strips (with transverse dimension $\varepsilon\mu$, $\mu\ll1$) oriented in the $j$th coordinate direction. Asymptotic expansions of solutions are constructed.
Figures: 3.
Bibliography: 22 titles.
Received: 27.11.1981
Citation:
G. P. Panasenko, “Averaging processes in framework structures”, Mat. Sb. (N.S.), 122(164):2(10) (1983), 220–231; Math. USSR-Sb., 50:1 (1985), 213–225
Linking options:
https://www.mathnet.ru/eng/sm2286https://doi.org/10.1070/SM1985v050n01ABEH002825 https://www.mathnet.ru/eng/sm/v164/i2/p220
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Abstract page: | 386 | Russian version PDF: | 102 | English version PDF: | 8 | References: | 67 |
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