Geodesic
Homogenization of spectral problem on small-periodic networks
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2012), pp. 336-356

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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. 
@article{JMAG_2012_8_a1,
     author = {A. S. Krylova and G. V. Sandrakov},
     title = {Homogenization of spectral problem on small-periodic networks},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {336--356},
     publisher = {mathdoc},
     volume = {8},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2012_8_a1/}
}
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A. S. Krylova; G. V. Sandrakov. Homogenization of spectral problem on small-periodic networks. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2012), pp. 336-356. http://geodesic.mathdoc.fr/item/JMAG_2012_8_a1/