Currie, SonjaWatson, Bruce A.2021-06-012021-06-012005-08-24Currie, S., & Watson, B. A. (2005). Dirichlet-Neumann bracketing for boundary-value problems on graphs. <i>Electronic Journal of Differential Equations, 2005</i>(93), pp. 1-11.1072-6691https://hdl.handle.net/10877/13694We consider the spectral structure of second order boundary-value problems on graphs. A variational formulation for boundary-value problems on graphs is given. As a consequence we can formulate an analogue of Dirichlet-Neumann bracketing for boundary-value problems on graphs. This in turn gives rise to eigenvalue and eigenfunction asymptotic approximations.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalDifferential operatorsSpectrumGraphsArticle