Dirichlet-Neumann bracketing for boundary-value problems on graphs
Date
2005-08-24
Authors
Currie, Sonja
Watson, Bruce A.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We 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.
Description
Keywords
Differential operators, Spectrum, Graphs
Citation
Currie, 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.
Rights
Attribution 4.0 International