Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9509387 | Journal of Computational and Applied Mathematics | 2005 | 19 Pages |
Abstract
We consider the spectral structure for differential equations on graphs. In particular, we show that self-adjointness does not necessarily imply regularity, we also show that the algebraic and geometric eigenvalue multiplicities of formally self-adjoint differential operators on graphs are equal. Asymptotic bounds for the eigenvalues are then found.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Sonja Currie, Bruce A. Watson,