Sturm–Liouville problem with two point nonlocal second type boundary condition
The Sturm–Liouville problemwith one classical boundary condition and other two point second type nonlocal boundary conditions is considered in this paper. Three cases of nonlocal conditions are investigated. There is analysed how spectrum of this problem depends on boundary condition parameters. Qu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2005-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/14653 |
| _version_ | 1797194391036624896 |
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| author | Sigita Pečiulytė Artūras Štikonas |
| author_facet | Sigita Pečiulytė Artūras Štikonas |
| author_sort | Sigita Pečiulytė |
| collection | DOAJ |
| description |
The Sturm–Liouville problemwith one classical boundary condition and other two point second type nonlocal
boundary conditions is considered in this paper. Three cases of nonlocal conditions are investigated.
There is analysed how spectrum of this problem depends on boundary condition parameters. Qualitative
behavior of all eigenvalues subject to nonlocal second type boundary condition parameters is described.
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| first_indexed | 2024-03-07T15:40:33Z |
| format | Article |
| id | doaj.art-51cd5287c1dd4391a43b62c5d5a04c93 |
| institution | Directory Open Access Journal |
| issn | 0132-2818 2335-898X |
| language | English |
| last_indexed | 2024-04-24T05:55:32Z |
| publishDate | 2005-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj.art-51cd5287c1dd4391a43b62c5d5a04c932024-04-23T09:01:56ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2005-12-0145spec.10.15388/LMR.2005.14653Sturm–Liouville problem with two point nonlocal second type boundary conditionSigita Pečiulytė0Artūras Štikonas1https://orcid.org/0000-0002-5872-5501Vytautas Magnus UniversityVilnius University The Sturm–Liouville problemwith one classical boundary condition and other two point second type nonlocal boundary conditions is considered in this paper. Three cases of nonlocal conditions are investigated. There is analysed how spectrum of this problem depends on boundary condition parameters. Qualitative behavior of all eigenvalues subject to nonlocal second type boundary condition parameters is described. https://www.journals.vu.lt/LMR/article/view/14653nonlocal boundary conditionsSturm-Liouville problem |
| spellingShingle | Sigita Pečiulytė Artūras Štikonas Sturm–Liouville problem with two point nonlocal second type boundary condition Lietuvos Matematikos Rinkinys nonlocal boundary conditions Sturm-Liouville problem |
| title | Sturm–Liouville problem with two point nonlocal second type boundary condition |
| title_full | Sturm–Liouville problem with two point nonlocal second type boundary condition |
| title_fullStr | Sturm–Liouville problem with two point nonlocal second type boundary condition |
| title_full_unstemmed | Sturm–Liouville problem with two point nonlocal second type boundary condition |
| title_short | Sturm–Liouville problem with two point nonlocal second type boundary condition |
| title_sort | sturm liouville problem with two point nonlocal second type boundary condition |
| topic | nonlocal boundary conditions Sturm-Liouville problem |
| url | https://www.journals.vu.lt/LMR/article/view/14653 |
| work_keys_str_mv | AT sigitapeciulyte sturmliouvilleproblemwithtwopointnonlocalsecondtypeboundarycondition AT arturasstikonas sturmliouvilleproblemwithtwopointnonlocalsecondtypeboundarycondition |