SCIENCEGATE

Relations between spectrum curves of discrete Sturm-Liouville problem with nonlocal boundary conditions and graph theory

2021 ◽
Vol 61 ◽
pp. 1-6
Author(s):
Jonas Vitkauskas
Artūras Štikonas

Sturm-Liouville problem with nonlocal boundary conditions arises in many scientific fields such as chemistry, physics, or biology. There could be found some references to graph theory in a discrete Sturm-Liouville problem, especially in investigation of spectrum curves. In this paper, relations between discrete Sturm-Liouville problem with nonlocal boundary conditions characteristics (poles, critical points, spectrum curves) and graphs characteristics (vertices, edges and faces) were found.

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