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

Jonas Vitkauskas,
Published: 18 February 2021

Abstract: 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.
Keywords: curves / nonlocal boundary conditions / Liouville / Discrete Sturm / Problem with Nonlocal

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