On the spectrum of a stationary problem with nonlocal integral type boundary condition
We investigated a eigenvalue problem for simple second order ordinary differential equation with one integral type nonlocal boundary condition. The eigenvalues and eigenfunctions of such problem are depending on few parameters in the nonlocal boundary conditions. For some values of those parameter...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2004-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/15312 |
| _version_ | 1797194435240394752 |
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| author | Sigita Pečiulytė Olga Štikonienė Artūras Štikonas |
| author_facet | Sigita Pečiulytė Olga Štikonienė Artūras Štikonas |
| author_sort | Sigita Pečiulytė |
| collection | DOAJ |
| description |
We investigated a eigenvalue problem for simple second order ordinary differential equation with one integral type nonlocal boundary condition. The eigenvalues and eigenfunctions of such problem are depending on few parameters in the nonlocal boundary conditions. For some values of those parameters all eigenvalues are positive. We find conditions when there is one zero or one negative eigenvalue. We investigate similar discrete problem too.
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| first_indexed | 2024-03-07T15:41:12Z |
| format | Article |
| id | doaj.art-ffb760f773224a43a49df7e0363d32c3 |
| institution | Directory Open Access Journal |
| issn | 0132-2818 2335-898X |
| language | English |
| last_indexed | 2024-04-24T05:56:14Z |
| publishDate | 2004-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj.art-ffb760f773224a43a49df7e0363d32c32024-04-23T09:03:03ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2004-12-0144spec.10.15388/LMR.2004.15312On the spectrum of a stationary problem with nonlocal integral type boundary conditionSigita Pečiulytė0Olga Štikonienė1Artūras Štikonas2https://orcid.org/0000-0002-5872-5501Vytautas Magnus UniversityVilnius UniversityVilnius University We investigated a eigenvalue problem for simple second order ordinary differential equation with one integral type nonlocal boundary condition. The eigenvalues and eigenfunctions of such problem are depending on few parameters in the nonlocal boundary conditions. For some values of those parameters all eigenvalues are positive. We find conditions when there is one zero or one negative eigenvalue. We investigate similar discrete problem too. https://www.journals.vu.lt/LMR/article/view/15312nonlocal boundary conditioneigenvalue problem |
| spellingShingle | Sigita Pečiulytė Olga Štikonienė Artūras Štikonas On the spectrum of a stationary problem with nonlocal integral type boundary condition Lietuvos Matematikos Rinkinys nonlocal boundary condition eigenvalue problem |
| title | On the spectrum of a stationary problem with nonlocal integral type boundary condition |
| title_full | On the spectrum of a stationary problem with nonlocal integral type boundary condition |
| title_fullStr | On the spectrum of a stationary problem with nonlocal integral type boundary condition |
| title_full_unstemmed | On the spectrum of a stationary problem with nonlocal integral type boundary condition |
| title_short | On the spectrum of a stationary problem with nonlocal integral type boundary condition |
| title_sort | on the spectrum of a stationary problem with nonlocal integral type boundary condition |
| topic | nonlocal boundary condition eigenvalue problem |
| url | https://www.journals.vu.lt/LMR/article/view/15312 |
| work_keys_str_mv | AT sigitapeciulyte onthespectrumofastationaryproblemwithnonlocalintegraltypeboundarycondition AT olgastikoniene onthespectrumofastationaryproblemwithnonlocalintegraltypeboundarycondition AT arturasstikonas onthespectrumofastationaryproblemwithnonlocalintegraltypeboundarycondition |