Averaging processes in framework structures

G. P. Panasenko

Sbornik. Mathematics, Tome 50 (1985) no. 1, pp. 213-225

Résumé

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.

Bibliographie

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