M-matrices and one-dimensional discrete Sturm–Liouville problems with nonlocal boundary conditions
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...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2025-07-01
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| Series: | Nonlinear Analysis |
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| Online Access: | https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/42210 |
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| author | Vytautas Būda Mifodijus Sapagovas Olga Štikonienė Artūras Štikonas |
| author_facet | Vytautas Būda Mifodijus Sapagovas Olga Štikonienė Artūras Štikonas |
| author_sort | Vytautas Būda |
| collection | DOAJ |
| description |
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.
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| format | Article |
| id | doaj-art-7f9b7911b5b24bddaffc4f066a0e1444 |
| institution | Kabale University |
| issn | 1392-5113 2335-8963 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj-art-7f9b7911b5b24bddaffc4f066a0e14442025-08-20T03:33:39ZengVilnius University PressNonlinear Analysis1392-51132335-89632025-07-0130410.15388/namc.2025.30.42210M-matrices and one-dimensional discrete Sturm–Liouville problems with nonlocal boundary conditionsVytautas Būda0https://orcid.org/0009-0000-9934-9269Mifodijus Sapagovas1https://orcid.org/0000-0002-7139-3468Olga Štikonienė2https://orcid.org/0000-0002-0302-3449Artūras Štikonas3https://orcid.org/0000-0002-5872-5501ISM University of Management and EconomicsVilnius UniversityVilnius UniversityVilnius University 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. https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/42210M-matricesfinite-difference methodSturm–Liouville problemnonlocal boundary conditions |
| spellingShingle | Vytautas Būda Mifodijus Sapagovas Olga Štikonienė Artūras Štikonas M-matrices and one-dimensional discrete Sturm–Liouville problems with nonlocal boundary conditions Nonlinear Analysis M-matrices finite-difference method Sturm–Liouville problem nonlocal boundary conditions |
| title | M-matrices and one-dimensional discrete Sturm–Liouville problems with nonlocal boundary conditions |
| title_full | M-matrices and one-dimensional discrete Sturm–Liouville problems with nonlocal boundary conditions |
| title_fullStr | M-matrices and one-dimensional discrete Sturm–Liouville problems with nonlocal boundary conditions |
| title_full_unstemmed | M-matrices and one-dimensional discrete Sturm–Liouville problems with nonlocal boundary conditions |
| title_short | M-matrices and one-dimensional discrete Sturm–Liouville problems with nonlocal boundary conditions |
| title_sort | m matrices and one dimensional discrete sturm liouville problems with nonlocal boundary conditions |
| topic | M-matrices finite-difference method Sturm–Liouville problem nonlocal boundary conditions |
| url | https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/42210 |
| work_keys_str_mv | AT vytautasbuda mmatricesandonedimensionaldiscretesturmliouvilleproblemswithnonlocalboundaryconditions AT mifodijussapagovas mmatricesandonedimensionaldiscretesturmliouvilleproblemswithnonlocalboundaryconditions AT olgastikoniene mmatricesandonedimensionaldiscretesturmliouvilleproblemswithnonlocalboundaryconditions AT arturasstikonas mmatricesandonedimensionaldiscretesturmliouvilleproblemswithnonlocalboundaryconditions |