Relations between spectrum curves of discrete Sturm-Liouville problem with nonlocal boundary conditions and graph theory
Articles
Jonas Vitkauskas
Vilnius University
https://orcid.org/0000-0003-1820-4557
Artūras Štikonas
Vilnius University
https://orcid.org/0000-0002-5872-5501
Published 2021-02-18
https://doi.org/10.15388/LMR.2020.22474
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Keywords

Sturm-Liouville problem
Spectrum Curves
Nonlocal Boundary Conditions
graphs

How to Cite

Vitkauskas J. and Štikonas A. (2021) “Relations between spectrum curves of discrete Sturm-Liouville problem with nonlocal boundary conditions and graph theory”, Lietuvos matematikos rinkinys, 61(A), pp. 1-6. doi: 10.15388/LMR.2020.22474.

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.

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