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Title:	Bounds on the first non-null eigenvalue for self-adjoint boundary value problems on networks
Author:	Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
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 ofdistance-regular graphs, and we show that the bounds obtained are better than the known until now.
Publication date:	2012-05-10
Subject(s):	Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta Discrete mathematics Boundary value problems Eigenvalues Networks Self-adjoint eigenvalue problems Discrete laplacian Equilibrium measures Distance-regular graphs Matemàtica discreta Xarxes de comunicacions -- Matemàtica Valors propis /Classificació AMS/34 Ordinary differential equations/34B Boundary value problems {For ordinary differential operators, see 34Lxx}
Rights:	Consulteu les condicions d'ús d'aquest document en el repositori original:http://hdl.handle.net/2117/588
Document type:	Article
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