| Title |
M-matrices and one-dimensional discrete Sturm–Liouville problems with nonlocal boundary conditions |
| Authors |
Būda, Vytautas ; Sapagovas, Mifodijus ; Štikonienė, Olga ; Štikonas, Artūras |
| DOI |
10.15388/namc.2025.30.42210 |
| Full Text |
|
| Is Part of |
Nonlinear analysis: modelling and control.. Vilnius : Vilnius University Press. 2025, vol. 30, no. 4, p. 704-731.. ISSN 1392-5113. eISSN 2335-8963 |
| Keywords [eng] |
M-matrices ; finite-difference method ; Sturm–Liouville problem ; nonlocal boundary conditions |
| Abstract [eng] |
This article is the second part of a survey dedicated to M-matrices and the application of the finite difference method to elliptic problems with nonlocal boundary conditions. Here, we examine cases in which the matrix of the resulting system of linear equations is an M-matrix. Here, we address the discrete Sturm–Liouville problem with nonlocal boundary conditions, describing its spectrum in one-dimensional case. This enables us to determine the values of the nonlocality parameters for which the finite difference scheme is represented by an M-matrix. |
| Published |
Vilnius : Vilnius University Press |
| Type |
Journal article |
| Language |
English |
| Publication date |
2025 |
| CC license |
|
