Indefinite boundary value problems on graphs
Spectral Theory
2017-07-05 v1 Classical Analysis and ODEs
Abstract
We consider the spectral structure of indefinite second order boundary-value problems on graphs. A variational formulation for such boundary-value problems on graphs is given and we obtain both full and half-range completeness results. This leads to a max-min principle and as a consequence we can formulate an analogue of Dirichlet-Neumann bracketing and this in turn gives rise to asymptotic approximations for the eigenvalues.
Cite
@article{arxiv.1707.01035,
title = {Indefinite boundary value problems on graphs},
author = {Sonja Currie and Bruce Alastair Watson},
journal= {arXiv preprint arXiv:1707.01035},
year = {2017}
}