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.