Spectral theory of ordinary differential operators
Spectral theory of ordinary differential operators
Boundary estimates for solutions of non-homogeneous boundary value problems on graphs
MATH'07 Proceedings of the 12th WSEAS International Conference on Applied Mathematics
M-matrix asymptotics for Sturm-Liouville problems on graphs
Journal of Computational and Applied Mathematics
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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.