Adjoint and Self-adjoint Differential Operators on Graphs
| dc.contributor.author | Carlson, Robert | |
| dc.date.accessioned | 2018-11-15T22:13:02Z | |
| dc.date.available | 2018-11-15T22:13:02Z | |
| dc.date.issued | 1998-02-26 | |
| dc.description.abstract | A 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Carlson, R. (1998). Adjoint and self-adjoint differential operators on graphs. Electronic Journal of Differential Equations, 1998(06), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/7794 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 1998, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Graph | |
| dc.subject | Differential operator | |
| dc.subject | Adjoint | |
| dc.subject | Self-adjoint extension | |
| dc.title | Adjoint and Self-adjoint Differential Operators on Graphs | |
| dc.type | Article |