Homogenization of spectral problem on periodic networks and lattices
A.S. Krylova, Gennadiy V. Sandrakov · 2012
In this paper the homogenization of a spectral problem on small-periodic networks and lattices with periodic boundary conditions is considered. Asymptotic expansions for eigenfunctions and corresponding eigenvalues on a network and lattices are constructed. The theorem is proved that is the justification of asymptotic expansions for some eigenvalues and eigenfunctions of problem on the network.