Relations between Spectrum Curves of Discrete Sturm-Liouville Problem with Nonlocal Boundary Conditions and Graph Theory. II

Jonas Vitkauskas; Artūras Štikonas

doi:10.15388/LMR.2021.25128

Articles

Jonas Vitkauskas

Vilnius University

https://orcid.org/0000-0003-1820-4557

Artūras Štikonas

Vilnius University

https://orcid.org/0000-0002-5872-5501

Published 2021-12-15

https://doi.org/10.15388/LMR.2021.25128

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Keywords

Sturm-Liouville problem
spectrum curves
integral boundary condition
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. II”, Lietuvos matematikos rinkinys, 62(A), pp. 1–8. doi:10.15388/LMR.2021.25128.

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Abstract

In this paper, relations between discrete Sturm--Liouville problem with nonlocal integral boundary condition characteristics (poles, critical points, spectrum curves) and graphs characteristics (vertices, edges and faces) were found. The previous article was devoted to the Sturm--Liouville problem in the case two-points nonlocal boundary conditions.

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