An eigenvalue problem for the differential operator with an integral condition
We analyze solution of a two-dimensional parabolic equation with a nonlocal integral condition by a locally one-dimensional method. The main aim of the paper is to deduce stability conditions of a system of one-dimensional equations with one integral condition. To this end, we analyze the structure...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2012-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/14869 |
| _version_ | 1811311348396589056 |
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| author | Kristina Jakubėlienė |
| author_facet | Kristina Jakubėlienė |
| author_sort | Kristina Jakubėlienė |
| collection | DOAJ |
| description | We analyze solution of a two-dimensional parabolic equation with a nonlocal integral condition by a locally one-dimensional method. The main aim of the paper is to deduce stability conditions of a system of one-dimensional equations with one integral condition. To this end, we analyze the structure of the spectrum of the differential operator with an integral condition. |
| first_indexed | 2024-04-13T10:17:24Z |
| format | Article |
| id | doaj.art-6c3c3aadc7374dc8b3717d6145e5a874 |
| institution | Directory Open Access Journal |
| issn | 0132-2818 2335-898X |
| language | English |
| last_indexed | 2024-04-13T10:17:24Z |
| publishDate | 2012-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj.art-6c3c3aadc7374dc8b3717d6145e5a8742022-12-22T02:50:40ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2012-12-0153A10.15388/LMR.A.2012.09An eigenvalue problem for the differential operator with an integral conditionKristina Jakubėlienė0Vilnius UniversityWe analyze solution of a two-dimensional parabolic equation with a nonlocal integral condition by a locally one-dimensional method. The main aim of the paper is to deduce stability conditions of a system of one-dimensional equations with one integral condition. To this end, we analyze the structure of the spectrum of the differential operator with an integral condition.https://www.journals.vu.lt/LMR/article/view/14869parabolic equationnonlocal integral conditioneigenvalue problemstability conditions |
| spellingShingle | Kristina Jakubėlienė An eigenvalue problem for the differential operator with an integral condition Lietuvos Matematikos Rinkinys parabolic equation nonlocal integral condition eigenvalue problem stability conditions |
| title | An eigenvalue problem for the differential operator with an integral condition |
| title_full | An eigenvalue problem for the differential operator with an integral condition |
| title_fullStr | An eigenvalue problem for the differential operator with an integral condition |
| title_full_unstemmed | An eigenvalue problem for the differential operator with an integral condition |
| title_short | An eigenvalue problem for the differential operator with an integral condition |
| title_sort | eigenvalue problem for the differential operator with an integral condition |
| topic | parabolic equation nonlocal integral condition eigenvalue problem stability conditions |
| url | https://www.journals.vu.lt/LMR/article/view/14869 |
| work_keys_str_mv | AT kristinajakubeliene aneigenvalueproblemforthedifferentialoperatorwithanintegralcondition AT kristinajakubeliene eigenvalueproblemforthedifferentialoperatorwithanintegralcondition |