On positive eigenfunctions of one nonlocal boundary problem

In this paper we present separate cases of Sturm–Liouville problem with nonlocal two-point boundary condition. The existence of positive eigenvalues and eigenfunctions is analysed. Obtained results we compare with results that are described in paper [1] and denote that in some cases they don’t coin...

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Main Authors: Sigita Pečiulytė, Artūras Štikonas
Format: Article
Language:English
Published: Vilnius University Press 2023-09-01
Series:Lietuvos Matematikos Rinkinys
Online Access:https://www.zurnalai.vu.lt/LMR/article/view/15000
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author Sigita Pečiulytė
Artūras Štikonas
author_facet Sigita Pečiulytė
Artūras Štikonas
author_sort Sigita Pečiulytė
collection DOAJ
description In this paper we present separate cases of Sturm–Liouville problem with nonlocal two-point boundary condition. The existence of positive eigenvalues and eigenfunctions is analysed. Obtained results we compare with results that are described in paper [1] and denote that in some cases they don’t coincide.  
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spelling doaj.art-b282910660d94754a2eba0cb82a55c892024-04-22T09:01:10ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2023-09-0146spec.10.15388/LMR.2006.15000On positive eigenfunctions of one nonlocal boundary problemSigita Pečiulytė0Artūras Štikonas1https://orcid.org/0000-0002-5872-5501Vytautas Magnus UniversityVilnius University In this paper we present separate cases of Sturm–Liouville problem with nonlocal two-point boundary condition. The existence of positive eigenvalues and eigenfunctions is analysed. Obtained results we compare with results that are described in paper [1] and denote that in some cases they don’t coincide.   https://www.zurnalai.vu.lt/LMR/article/view/15000
spellingShingle Sigita Pečiulytė
Artūras Štikonas
On positive eigenfunctions of one nonlocal boundary problem
Lietuvos Matematikos Rinkinys
title On positive eigenfunctions of one nonlocal boundary problem
title_full On positive eigenfunctions of one nonlocal boundary problem
title_fullStr On positive eigenfunctions of one nonlocal boundary problem
title_full_unstemmed On positive eigenfunctions of one nonlocal boundary problem
title_short On positive eigenfunctions of one nonlocal boundary problem
title_sort on positive eigenfunctions of one nonlocal boundary problem
url https://www.zurnalai.vu.lt/LMR/article/view/15000
work_keys_str_mv AT sigitapeciulyte onpositiveeigenfunctionsofonenonlocalboundaryproblem
AT arturasstikonas onpositiveeigenfunctionsofonenonlocalboundaryproblem