Bounds on the First Nonzero Eigen- Value for Self-adjoint Boundary Value Problems on Networks
نویسندگان
چکیده
We aim here at obtaining bounds on the first nonzero eigenvalue for selfadjoint boundary value problems on a weighted network by means of equilibrium measures, that include the study of Dirichlet, Neumann and Mixed problems. We also show the sharpness of these bounds throughout the analysis of some examples. In particular we emphasize the case of distance-regular graphs and we show that the obtained bounds are better than those known until now.
منابع مشابه
Bounds on the first non-null eigenvalue for self-adjoint boundary value problems on networks
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 t...
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