Indefinite boundary value problems on graphs

Sonja Currie; Bruce Alastair Watson

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arXiv · 1707.01035

Indefinite boundary value problems on graphs

Sonja Currie·Bruce Alastair Watson

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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.

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BibTeX RIS

Sonja Currie, Bruce Alastair Watson. 2017-07-04. Indefinite boundary value problems on graphs. https://arxiv.org/abs/1707.01035

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