Carlson, Robert2018-11-152018-11-151998-02-26Carlson, R. (1998). Adjoint and self-adjoint differential operators on graphs. <i>Electronic Journal of Differential Equations, 1998</i>(06), pp. 1-10.1072-6691https://hdl.handle.net/10877/7794A differential operator on a directed graph with weighted edges is characterized as a system of ordinary differential operators. A class of local operators is introduced to clarify which operators should be considered as defined on the graph. When the edge lengths have a positive lower bound, all local self-adjoint extensions of the minimal symmetric operator may be classified by boundary conditions at the vertices.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalGraphDifferential operatorAdjointSelf-adjoint extensionArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.