Bounds on the first non-null eigenvalue for self-adjoint boundary value problems on networks
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Cita com:
hdl:2117/588
Document typeArticle
Defense date2006-09
Rights accessOpen Access
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Attribution-NonCommercial-NoDerivs 2.5 Spain
Abstract
We aim here at obtaining bounds on the first non-null eigenvalue for self-adjoint boundary value problems on a weighted network by means of equilibrium measures, that includes the study of Dirichlet, Neumann and Mixed problems. We also show the sharpness of these bounds throughout the analysis of some known examples. In particular, we emphasize the case of
distance-regular graphs, and we show that the bounds obtained are better than the known until now.
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