THE EIGENVALUE PROBLEM FOR NETWORKS OF BEAMS

Authors
DEKONINCK B NICAISE S
Citation
B. Dekoninck et S. Nicaise, THE EIGENVALUE PROBLEM FOR NETWORKS OF BEAMS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 326(10), 1998, pp. 1249-1254
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
326
Issue
10
Year of publication
1998
Pages
1249 - 1254
Database
ISI
SICI code
0764-4442(1998)326:10<1249:TEPFNO>2.0.ZU;2-I
Abstract
We consider the spectral analysis of a model of networks of Euler-Bern oulli beams. We first give the characteristic equation for the spectru m. Secondly, in some particular situations, we show that the spectrum depends only on the structure of the graph. Thirdly, we investigate th e asymptotic behaviour of the eigenvalues by proving the so-called Wey l's formula. (C) Academie des Sciences/Elsevier, Paris.