Аннотация:
The homogenization of a spectral problem on small-periodic networks with periodic boundary conditions is considered. Asymptotic expansions for eigenfunctions and corresponding eigenvalues on the network are constructed. The theorem is proved which is a justification of the asymptotic expansions for some eigenvalues and eigenfunctions of the problem on the network.
Ключевые слова и фразы:homogenization, spectral problem, small-periodic network, string cross.